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4y^{2}+16y+16-6y+8
Combine 8y and 8y to get 16y.
4y^{2}+10y+16+8
Combine 16y and -6y to get 10y.
4y^{2}+10y+24
Add 16 and 8 to get 24.
2\left(2y^{2}+5y+12\right)
Factor out 2. Polynomial 2y^{2}+5y+12 is not factored since it does not have any rational roots.