Break down the problem into these 2 equations.
Solve the 1st equation: \(x-y=8\).
Solve the 2nd equation: \(x-y=3x-3y\).
Subtract \(x\) from both sides.
\[-y=3x-3y-x\]
Simplify \(3x-3y-x\) to \(2x-3y\).
\[-y=2x-3y\]
Add \(3y\) to both sides.
\[-y+3y=2x\]
Simplify \(-y+3y\) to \(2y\).
\[2y=2x\]
Cancel \(2\) on both sides.
\[y=x\]
Switch sides.
\[x=y\]
Collect all solutions.