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, which is the denominator of the left side.
4. After multiplying, write the equation as \(y = 4 \times\) (the simplified fraction on the right side).
5. Perform the multiplication on the right side to express \(y\) as a single number (do not calculate the final value here, just set up the expression).