Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Solve for
y
y
y
.
\newline
−
8
=
−
4
(
y
−
19
)
+
−
20
-8 = -4(y - 19) + -20
−
8
=
−
4
(
y
−
19
)
+
−
20
\newline
y
=
y =
y
=
_____
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
y
y
y
.
\newline
−
8
=
−
4
(
y
−
19
)
+
−
20
-8 = -4(y - 19) + -20
−
8
=
−
4
(
y
−
19
)
+
−
20
\newline
y
=
y =
y
=
_____
Distribute
−
4
-4
−
4
:
First, we need to simplify the equation by distributing the
−
4
-4
−
4
into the parentheses.
\newline
−
8
=
−
4
(
y
−
19
)
+
−
20
-8 = -4(y - 19) + -20
−
8
=
−
4
(
y
−
19
)
+
−
20
\newline
−
8
=
−
4
y
+
76
−
20
-8 = -4y + 76 - 20
−
8
=
−
4
y
+
76
−
20
Combine like terms:
Next, combine like terms on the right side of the equation.
\newline
−
8
=
−
4
y
+
76
−
20
-8 = -4y + 76 - 20
−
8
=
−
4
y
+
76
−
20
\newline
−
8
=
−
4
y
+
56
-8 = -4y + 56
−
8
=
−
4
y
+
56
Isolate variable y:
Now, we need to isolate the variable y by moving the constant term on the right side to the left side.
\newline
−
8
−
56
=
−
4
y
-8 - 56 = -4y
−
8
−
56
=
−
4
y
\newline
−
64
=
−
4
y
-64 = -4y
−
64
=
−
4
y
Divide to solve for y:
Finally, divide both sides by
−
4
-4
−
4
to solve for
y
y
y
.
−
64
/
−
4
=
y
-64 / -4 = y
−
64/
−
4
=
y
16
=
y
16 = y
16
=
y
More problems from Solve linear equations: mixed review
Question
Solve for x.
\newline
(
3
4
)
x
=
12
(\frac{3}{4})x= 12
(
4
3
)
x
=
12
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
Solve for x.
\newline
−
5
9
x
=
15
-\frac{5}{9}x= 15
−
9
5
x
=
15
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
5
x
+
8
−
7
x
=
−
4
x
+
1
5x+8-7x=-4x+1
5
x
+
8
−
7
x
=
−
4
x
+
1
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
2
z
+
10
+
7
z
=
16
z
+
7
-2z+10+7z=16z+7
−
2
z
+
10
+
7
z
=
16
z
+
7
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 10 months ago
Question
How many solutions does the following equation have?
\newline
7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
9
(
x
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
9
(
x
+
6
)
=
−
9
x
+
108
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
4
x
−
7
+
10
x
=
−
7
+
6
x
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant