Question

solve for y: -24 - 12 = -4(2 + 3y) + 5y

Explanation:

Step1: Simplify left - hand side

First, calculate $-24 - 12=-36$.

Step2: Expand right - hand side

Expand $-4(2 + 3y)$ using distributive property: $-4\times2-4\times3y=-8 - 12y$. So the right - hand side is $-8 - 12y+5y=-8 - 7y$.

Step3: Solve for y

Set up the equation $-36=-8 - 7y$. Add 8 to both sides: $-36 + 8=-7y$, which simplifies to $-28=-7y$. Divide both sides by - 7: $y=\frac{-28}{-7}=4$.

Answer:

$4$