Solve the given linear equation using multiplication and division properties of equality.
$-\frac{126}{14}=3y$

• A. $y=27$
• B. $y=-27$
• C. $y=3$
• D. $y=-3$

Answer: (D)

Verified step by step guidance

1. Start with the given equation: \(-\frac{126}{14} = 3y\).
2. Simplify the fraction on the left side by dividing 126 by 14, so the equation becomes \(-9 = 3y\).
3. To isolate \(y\), use the division property of equality by dividing both sides of the equation by 3: \(\frac{-9}{3} = \frac{3y}{3}\).
4. Simplify both sides: the right side simplifies to \(y\), and the left side simplifies to \(-3\).
5. Therefore, the solution to the equation is \(y = -3\).