Question

solve the linear equation for y.
$-y - 3(y + 4) = -44$
show your work here
$y = $

Explanation:

Step1: Distribute the -3

First, we distribute the -3 into the parentheses \( -y - 3(y + 4) = -44 \) becomes \( -y - 3y - 12 = -44 \).

Step2: Combine like terms

Combine the \( -y \) and \( -3y \) terms: \( -4y - 12 = -44 \).

Step3: Add 12 to both sides

Add 12 to each side of the equation: \( -4y - 12 + 12 = -44 + 12 \), which simplifies to \( -4y = -32 \).

Step4: Divide by -4

Divide both sides by -4: \( \frac{-4y}{-4} = \frac{-32}{-4} \), so \( y = 8 \).

Answer:

\( y = 8 \)