13-y/17-y=1/2

To solve the equation \(\frac{13-y}{17-y} = \frac{1}{2}\), we can start by cross-multiplying to eliminate the fraction.

1. Cross-multiply:

\[ 2(13 - y) = 1(17 - y) \]

2. Distribute both sides:

\[ 26 - 2y = 17 - y \]

3. Rearrange the equation to isolate \(y\):

Start by adding \(2y\) to both sides:

\[ 26 = 17 - y + 2y \]

This simplifies to:

\[ 26 = 17 + y \]

4. Subtract 17 from both sides:

\[ 26 - 17 = y \]

5. Calculate the value:

\[ y = 9 \]

Thus, the solution to the equation is \(y = 9\).