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Simplify to create an equivalent expression.

2(3y+6)-3(-4-y)
Choose 1 answer:
(A)
9y
(B)
5y+24
(c)
9y-24
(D)
9y+24

Simplify to create an equivalent expression. $\newline$ $2(3y+6)-3(-4-y)$ $\newline$ Choose $1$ answer: $\newline$ (A) $9y$ $\newline$ (B) $5y+24$ $\newline$ (C) $9y-24$ $\newline$ (D) $9y+24$

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

Full solution

Q. Simplify to create an equivalent expression.

\newline

2(3y+6)-3(-4-y)

\newline

Choose

1

answer:

\newline

(A)

9y

\newline

(B)

5y+24

\newline

(C)

9y-24

\newline

(D)

9y+24

Distribute multiplication over addition: First, we need to distribute the multiplication over addition in both terms. $\newline$ For the first term: $2(3y+6) = 2\cdot 3y + 2\cdot 6 = 6y + 12$ . $\newline$ For the second term: $-3(-4-y) = -3\cdot (-4) -3\cdot (-y) = 12 + 3y$ .
Combine like terms: Now, we combine like terms from both expanded expressions. $\newline$ Combine the y terms: $6y + 3y = 9y$ . $\newline$ Combine the constant terms: $12 + 12 = 24$ . $\newline$ So, the expression becomes $9y + 24$ .
Simplify the expression: We have simplified the expression to $9y + 24$ , which matches one of the given choices.

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