Make x the subject of the equation.

To make \( x \) the subject of the equation \( \frac{5}{x} + 1 = y \), follow these steps:

1. Start with the original equation: \[ \frac{5}{x} + 1 = y \]

2. Subtract 1 from both sides: \[ \frac{5}{x} = y - 1 \]

3. Now, multiply both sides by \( x \) to eliminate the fraction: \[ 5 = (y - 1)x \]

4. Finally, divide both sides by \( y - 1 \) to isolate \( x \): \[ x = \frac{5}{y - 1} \]

So, the final result is: \[ x = \frac{5}{y - 1} \]