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10x+15y-2\left(3x-2y\right)-3\left(3x-3\right)
Use the distributive property to multiply 5 by 2x+3y.
10x+15y-6x+4y-3\left(3x-3\right)
Use the distributive property to multiply -2 by 3x-2y.
4x+15y+4y-3\left(3x-3\right)
Combine 10x and -6x to get 4x.
4x+19y-3\left(3x-3\right)
Combine 15y and 4y to get 19y.
4x+19y-9x+9
Use the distributive property to multiply -3 by 3x-3.
-5x+19y+9
Combine 4x and -9x to get -5x.
10x+15y-2\left(3x-2y\right)-3\left(3x-3\right)
Use the distributive property to multiply 5 by 2x+3y.
10x+15y-6x+4y-3\left(3x-3\right)
Use the distributive property to multiply -2 by 3x-2y.
4x+15y+4y-3\left(3x-3\right)
Combine 10x and -6x to get 4x.
4x+19y-3\left(3x-3\right)
Combine 15y and 4y to get 19y.
4x+19y-9x+9
Use the distributive property to multiply -3 by 3x-3.
-5x+19y+9
Combine 4x and -9x to get -5x.