Step 1 :Simplify the given expression: \(-2(5x - 2y) - 4(-3x + 2y)\)
Step 2 :Distribute the terms: \(-10x + 4y + 12x - 8y\)
Step 3 :Combine like terms: \(2x - 4y\)
Step 4 :The simplified expression is: \(\boxed{2x - 4y}\)