Question

use properties of operations to complete the equivalent expression.
8(y + 4) = _y + _

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c) = ab + ac \). For \( 8(y + 4) \), we distribute 8 to both \( y \) and 4.
\( 8 \times y + 8 \times 4 \)

Step2: Calculate Each Term

Calculate \( 8 \times y = 8y \) and \( 8 \times 4 = 32 \). So \( 8(y + 4) = 8y + 32 \).

Answer:

\( 8 \) (for the coefficient of \( y \)) and \( 32 \) (for the constant term), so the filled expression is \( 8(y + 4) = \boldsymbol{8}y + \boldsymbol{32} \)