Question

Simplify the expression -4(y-3) using the distributive property

Short answer

The simplified form of the given expression is$-4(y-3)is-4y+12.$

Step-by-step solution

. Given information

Given expression is $-4(y-3)$.

we have to simplify using distributive property.

. Description of distributive property

Distributive property: If a, b, c ae real numbers then$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

. Simplifying the expression

Using the distributive property we can write expression$$\begin{gathered} -4(y-3)=-4\times y-4\left(-3\right) \\ =-4y+12 \end{gathered}$$.