To solve for \( y \) in the equation \( 48 = 45 - \frac{y}{6} \), follow these steps:
- First, isolate the term with \( y \) on one side. Start by moving \( 45 \) to the left side by subtracting \( 45 \) from both sides:
\[ 48 - 45 = -\frac{y}{6} \]
- This simplifies to:
\[ 3 = -\frac{y}{6} \]
- Next, multiply both sides by \(-6\) to solve for \( y \):
\[ 3 \times -6 = y \]
This gives:
\[ y = -18 \]
Thus, the solution is:
\[ \boxed{-18} \]