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10x^{2}+6xy-7y\left(2x+2y\right)
Use the distributive property to multiply 2x by 5x+3y.
10x^{2}+6xy-14yx-14y^{2}
Use the distributive property to multiply -7y by 2x+2y.
10x^{2}-8xy-14y^{2}
Combine 6xy and -14yx to get -8xy.
10x^{2}+6xy-7y\left(2x+2y\right)
Use the distributive property to multiply 2x by 5x+3y.
10x^{2}+6xy-14yx-14y^{2}
Use the distributive property to multiply -7y by 2x+2y.
10x^{2}-8xy-14y^{2}
Combine 6xy and -14yx to get -8xy.