Questions: Multiply using the distributive property. -4(6 y-8) -4(6 y-8)= (Simplify your answer.)

Transcript text: Question 26 of 33 This test: 33 point(s) possible This question: 1 point(s) possible Multiply using the distributive property. \[ -4(6 y-8) \] $-4(6 y-8)=\square$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To solve the problem using the distributive property, we need to multiply each term inside the parentheses by the factor outside the parentheses. In this case, we will multiply $-4$ by $6y$ and $-4$ by $-8$, and then simplify the expression.

Step 1: Apply the Distributive Property

To solve the expression $-4(6y - 8)$, we apply the distributive property by multiplying $-4$ with each term inside the parentheses:

\[ -4 \times 6y = -24y \]

\[ -4 \times (-8) = 32 \]

Step 2: Combine the Results

Combine the results from the distributive property to form the simplified expression:

\[ -24y + 32 \]