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5x+10y+15-2\left(4x+3y+2y\right)
Use the distributive property to multiply 5 by x+2y+3.
5x+10y+15-2\left(4x+5y\right)
Combine 3y and 2y to get 5y.
5x+10y+15-8x-10y
Use the distributive property to multiply -2 by 4x+5y.
-3x+10y+15-10y
Combine 5x and -8x to get -3x.
-3x+15
Combine 10y and -10y to get 0.
5x+10y+15-2\left(4x+3y+2y\right)
Use the distributive property to multiply 5 by x+2y+3.
5x+10y+15-2\left(4x+5y\right)
Combine 3y and 2y to get 5y.
5x+10y+15-8x-10y
Use the distributive property to multiply -2 by 4x+5y.
-3x+10y+15-10y
Combine 5x and -8x to get -3x.
-3x+15
Combine 10y and -10y to get 0.