Simplify to create an equivalent expression. 6(7-3y)+6(y+1) Choose 1 answer: (A) 12 y+48 (B) -12 y+43 (C) -12 y+48 (D) -12 y-48

Distribute 6 into the parentheses: First, distribute the 6 into the parentheses for both terms. 6 * 7 = 42 and 6 * (-3y) = -18y for the first term. 6 * y = 6y and 6 * 1 = 6 for the second term. So, the expression becomes 42 - 18y + 6y + 6.Combine like terms: Next, combine like terms, which are -18y and 6y. -18y + 6y = -12y. So, the expression now is 42 + (-12y) + 6.Add the constant terms: Finally, add the constant terms 42 and 6. 42 + 6 = 48. So, the simplified expression is -12y + 48.

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Simplify to create an equivalent expression.

6(7-3y)+6(y+1)
Choose 1 answer:
(A)
12 y+48
(B)
-12 y+43
(C)
-12 y+48
(D)
-12 y-48

Simplify to create an equivalent expression. $\newline$ $6(7-3y)+6(y+1)$ $\newline$ Choose $1$ answer: $\newline$ (A) $12y+48$ $\newline$ (B) $-12y+43$ $\newline$ (C) $-12y+48$ $\newline$ (D) $-12y-48$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

6(7-3y)+6(y+1)

\newline

Choose

1

answer:

\newline

(A)

12y+48

\newline

(B)

-12y+43

\newline

(C)

-12y+48

\newline

(D)

-12y-48

Distribute $6$ into the parentheses: First, distribute the $6$ into the parentheses for both terms. $\newline$ $6 \times 7 = 42$ and $6 \times (-3y) = -18y$ for the first term. $\newline$ $6 \times y = 6y$ and $6 \times 1 = 6$ for the second term. $\newline$ So, the expression becomes $42 - 18y + 6y + 6$ .
Combine like terms: Next, combine like terms, which are $-18y$ and $6y$ . $-18y + 6y = -12y.$ So, the expression now is $42 + (-12y) + 6$ .
Add the constant terms: Finally, add the constant terms $42$ and $6$ . $\newline$ $42 + 6 = 48$ . $\newline$ So, the simplified expression is $-12y + 48$ .