Factor out the common term \(2\).
\[\frac{5x-y}{3y}-\frac{2(x-2y)}{3y}\]
Join the denominators.
\[\frac{5x-y-2(x-2y)}{3y}\]
Expand.
\[\frac{5x-y-2x+4y}{3y}\]
Collect like terms.
\[\frac{(5x-2x)+(-y+4y)}{3y}\]
Simplify \((5x-2x)+(-y+4y)\) to \(3x+3y\).
\[\frac{3x+3y}{3y}\]
Factor out the common term \(3\).
\[\frac{3(x+y)}{3y}\]
Cancel \(3\).
\[\frac{x+y}{y}\]
Simplify.
\[1+\frac{x}{y}\]
1+x/y
