To find an expression equivalent to \( 4(y + 8) \), we can distribute the \( 4 \) across the terms inside the parentheses:
\[ 4(y + 8) = 4 \cdot y + 4 \cdot 8 = 4y + 32 \]
Now, let's look at the options provided:
A: \( 4 + y + 4 + 8 \) simplifies to \( 4 + y + 12 \), which is not equivalent. B: \( 4y + 8 \) is not equivalent because the constant is not correct. C: \( 4y + 324 \) is not equivalent. D: \( 4 + y + 8 \) simplifies to \( 12 + y \), which is also not equivalent.
None of the options given provide the right equivalent expression \( 4y + 32 \).
If I had to choose the closest correct form based on what I derived, I would note that none match my result directly.
However, if there's an oversight, please let me know!