Question

solve for y.
2y + 3y - 18 = -83
simplify your answer as much as possible.

Explanation:

Step1: Combine like terms

Combine the \( y \)-terms on the left side: \( 2y + 3y = 5y \), so the equation becomes \( 5y - 18 = -83 \).

Step2: Add 18 to both sides

Add 18 to each side to isolate the term with \( y \): \( 5y - 18 + 18 = -83 + 18 \), which simplifies to \( 5y = -65 \).

Step3: Divide by 5

Divide both sides by 5 to solve for \( y \): \( \frac{5y}{5} = \frac{-65}{5} \), so \( y = -13 \).

Answer:

\( y = -13 \)