Question

which expression is equivalent to -4(y - 7)? a -4y - 28 b -4y - 7 c -4y - 11 d -4y + 28

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b - c)=ab - ac\). For the expression \(-4(y - 7)\), we distribute \(-4\) to both \(y\) and \(-7\). So we have \(-4\times y+(-4)\times(-7)\).

Step2: Simplify the terms

Calculating each term: \(-4\times y=-4y\) and \((-4)\times(-7) = 28\). Combining these terms gives \(-4y + 28\).

Answer:

D. \(-4y + 28\)