-3(x-y)+4(2x+y)

To simplify the expression \(-3(x - y) + 4(2x + y)\), we can follow these steps:

1. Distribute the \(-3\) and \(4\) across their respective parentheses: \[ -3(x - y) = -3x + 3y \] \[ 4(2x + y) = 8x + 4y \]

2. Now, combine the results from the distributions: \[ -3x + 3y + 8x + 4y \]

3. Combine like terms:

   • For \(x\) terms: \(-3x + 8x = 5x\)
   • For \(y\) terms: \(3y + 4y = 7y\)

Putting it all together, we get: \[ 5x + 7y \]

Thus, the simplified expression is: \[ \boxed{5x + 7y} \]