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 \(a(b - c)=ab - ac\). Here, \(a = - 4\), \(b=y\) and \(c = 7\). So we have \(-4\times y-(-4)\times7\).

Step2: Simplify each term

Simplify \(-4\times y=-4y\) and \(-(-4)\times7 = 28\) (because multiplying two negative numbers gives a positive number). So the expression becomes \(-4y + 28\).

Answer:

D. \(-4y + 28\)