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2y^{2}+8y+6+5\left(y^{2}+y+1\right)
Use the distributive property to multiply 2 by y^{2}+4y+3.
2y^{2}+8y+6+5y^{2}+5y+5
Use the distributive property to multiply 5 by y^{2}+y+1.
7y^{2}+8y+6+5y+5
Combine 2y^{2} and 5y^{2} to get 7y^{2}.
7y^{2}+13y+6+5
Combine 8y and 5y to get 13y.
7y^{2}+13y+11
Add 6 and 5 to get 11.
2y^{2}+8y+6+5\left(y^{2}+y+1\right)
Use the distributive property to multiply 2 by y^{2}+4y+3.
2y^{2}+8y+6+5y^{2}+5y+5
Use the distributive property to multiply 5 by y^{2}+y+1.
7y^{2}+8y+6+5y+5
Combine 2y^{2} and 5y^{2} to get 7y^{2}.
7y^{2}+13y+6+5
Combine 8y and 5y to get 13y.
7y^{2}+13y+11
Add 6 and 5 to get 11.