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18x^{2}y+9xy-3y-2\left(9x^{2}y+5xy-7\right)
Use the distributive property to multiply 3 by 6x^{2}y+3xy-y.
18x^{2}y+9xy-3y-18x^{2}y-10xy+14
Use the distributive property to multiply -2 by 9x^{2}y+5xy-7.
9xy-3y-10xy+14
Combine 18x^{2}y and -18x^{2}y to get 0.
-xy-3y+14
Combine 9xy and -10xy to get -xy.
18x^{2}y+9xy-3y-2\left(9x^{2}y+5xy-7\right)
Use the distributive property to multiply 3 by 6x^{2}y+3xy-y.
18x^{2}y+9xy-3y-18x^{2}y-10xy+14
Use the distributive property to multiply -2 by 9x^{2}y+5xy-7.
9xy-3y-10xy+14
Combine 18x^{2}y and -18x^{2}y to get 0.
-xy-3y+14
Combine 9xy and -10xy to get -xy.