To expand \( 5(y + 2) \) using the distributive property, you multiply 5 by each term inside the parentheses:
- Multiply \( 5 \) by \( y \): \( 5y \)
- Multiply \( 5 \) by \( 2 \): \( 10 \)
Putting it together, you get:
\[ 5(y + 2) = 5y + 10 \]
So the correct response is:
5y + 10