To solve the equation \( \frac{1}{2}(16 - y) = 4 \), follow these steps:
Eliminate the fraction by multiplying both sides of the equation by 2:
\[ 2 \cdot \left( \frac{1}{2}(16 - y) \right) = 2 \cdot 4 \]
This simplifies to:
\[ 16 - y = 8 \]
Isolate \( y \) by subtracting 16 from both sides:
\[ -y = 8 - 16 \]
This simplifies to:
\[ -y = -8 \]
Multiply by -1 to solve for \( y \):
\[ y = 8 \]
Therefore, the solution is \( y = 8 \).