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which expression is equivalent to 4(-8y + 3) + 2(9y + 5)? -8(3y + 4) + …

Question

which expression is equivalent to 4(-8y + 3) + 2(9y + 5)? -8(3y + 4) + 9(2y + 5) 22y - 14 -14y + 22 -8(4y + 3) + 2(9y + 5)

Explanation:

Step1: Expand the given expression

\[

$$\begin{align*} 4(-8y + 3)+2(9y + 5)&=4\times(-8y)+4\times3+2\times9y+2\times5\\ &=-32y + 12+18y+10 \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} -32y + 12+18y+10&=(-32y+18y)+(12 + 10)\\ &=-14y+22 \end{align*}$$

\]

Answer:

-14y + 22