Question

solve for y.
-19 = 2y + 9 - 6y
simplify your answer as much as possible.

Explanation:

Step1: Combine like terms

Combine the \( y \)-terms on the right side: \( 2y - 6y = -4y \), so the equation becomes \( -19 = -4y + 9 \).

Step2: Subtract 9 from both sides

Subtract 9 from each side: \( -19 - 9 = -4y + 9 - 9 \), which simplifies to \( -28 = -4y \).

Step3: Divide by -4

Divide both sides by -4: \( \frac{-28}{-4} = \frac{-4y}{-4} \), so \( y = 7 \).

Answer:

\( y = 7 \)