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 to get a single number.
3. Rewrite the equation with the simplified number: this will look like \(-9 = 3y\) (after simplification).
4. To isolate \(y\), use the division property of equality by dividing both sides of the equation by 3: \(\frac{-9}{3} = \frac{3y}{3}\).
5. Simplify both sides to find the value of \(y\).