Question

1. 9y = -126

Explanation:

Step1: Isolate the variable \( y \)

To solve for \( y \) in the equation \( 9y = -126 \), we divide both sides of the equation by 9. This is based on the division property of equality, which states that if \( a = b \), then \( \frac{a}{c} = \frac{b}{c} \) for \( c
eq 0 \).
So we have \( \frac{9y}{9} = \frac{-126}{9} \)

Step2: Simplify both sides

Simplifying the left side, \( \frac{9y}{9} = y \). Simplifying the right side, we calculate \( \frac{-126}{9} \). Since \( 9\times(-14) = -126 \), we get \( y = -14 \).

Answer:

\( y = -14 \)