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 first set of parentheses: First, we need to distribute the 6 into the terms inside the first set of parentheses: 6(7-3y). 6 * 7 = 42 6 * (-3y) = -18y So, 6(7-3y) simplifies to 42 - 18y.Distribute 6 into second set of parentheses: Next, we distribute the 6 into the terms inside the second set of parentheses: 6(y+1). 6 * y = 6y 6 * 1 = 6 So, 6(y+1) simplifies to 6y + 6.Combine simplified expressions: Now, we combine the simplified expressions from the first and second steps: (42 - 18y) + (6y + 6). We combine like terms by adding the constants and the coefficients of y. 42 + 6 = 48 -18y + 6y = -12y So, the combined 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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Algebra 1

Is (x, y) a solution to the system of equations?

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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 first set of parentheses: First, we need to distribute the $6$ into the terms inside the first set of parentheses: $6(7-3y)$ . $6 \times 7 = 42$ $6 \times (-3y) = -18y$ So, $6(7-3y)$ simplifies to $42 - 18y$ .
Distribute $6$ into second set of parentheses: Next, we distribute the $6$ into the terms inside the second set of parentheses: $6$ (y+ $1$ ). $\newline$ $6$ \times y = $6$ y $\newline$ $6$ \times $1$ = $6$ $\newline$ So, $6$ (y+ $1$ ) simplifies to $6$ y + $6$ .
Combine simplified expressions: Now, we combine the simplified expressions from the first and second steps: $(42 - 18y) + (6y + 6)$ . $\newline$ We combine like terms by adding the constants and the coefficients of $y$ . $\newline$ $42 + 6 = 48$ $\newline$ $-18y + 6y = -12y$ $\newline$ So, the combined expression is $-12y + 48$ .