Solve the given linear equation using multiplication and division properties of equality.
$\frac{y}{4}=-\frac{21}{6}$

• A. $y=14$
• B. $y=-14$
• C. $y=7$
• D. $y=-7$

Answer: (B)

Verified step by step guidance

1. Start with the given equation: \(\frac{y}{4} = -\frac{21}{6}\).
2. To isolate \(y\), multiply both sides of the equation by 4, using the multiplication property of equality: \(4 \times \frac{y}{4} = 4 \times -\frac{21}{6}\).
3. Simplify the left side: \(4 \times \frac{y}{4} = y\) because the 4s cancel out.
4. Simplify the right side by multiplying: \(4 \times -\frac{21}{6} = -\frac{84}{6}\).
5. Finally, simplify the fraction on the right side to find the value of \(y\).