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25y^{2}+10y+7y\left(3y-7\right)
Use the distributive property to multiply 5y by 5y+2.
25y^{2}+10y+21y^{2}-49y
Use the distributive property to multiply 7y by 3y-7.
46y^{2}+10y-49y
Combine 25y^{2} and 21y^{2} to get 46y^{2}.
46y^{2}-39y
Combine 10y and -49y to get -39y.
25y^{2}+10y+7y\left(3y-7\right)
Use the distributive property to multiply 5y by 5y+2.
25y^{2}+10y+21y^{2}-49y
Use the distributive property to multiply 7y by 3y-7.
46y^{2}+10y-49y
Combine 25y^{2} and 21y^{2} to get 46y^{2}.
46y^{2}-39y
Combine 10y and -49y to get -39y.