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3x+6y-5\left(4x-y\right)
Use the distributive property to multiply 3 by x+2y.
3x+6y-20x+5y
Use the distributive property to multiply -5 by 4x-y.
-17x+6y+5y
Combine 3x and -20x to get -17x.
-17x+11y
Combine 6y and 5y to get 11y.
3x+6y-5\left(4x-y\right)
Use the distributive property to multiply 3 by x+2y.
3x+6y-20x+5y
Use the distributive property to multiply -5 by 4x-y.
-17x+6y+5y
Combine 3x and -20x to get -17x.
-17x+11y
Combine 6y and 5y to get 11y.