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. Simplify the fraction on the right side if possible. Since \(\frac{21}{6}\) can be reduced, divide numerator and denominator by their greatest common divisor.
3. Use the multiplication property of equality to isolate \(y\) by multiplying both sides of the equation by 4, the denominator of the left side.
4. After multiplying, you will have \(y\) alone on the left side and a product on the right side. Simplify the right side by performing the multiplication.
5. The resulting equation will give you the value of \(y\). This is the solution to the original equation.