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6y^{4}-3y^{2}+y+7y^{2}+6y
Combine 2y^{4} and 4y^{4} to get 6y^{4}.
6y^{4}+4y^{2}+y+6y
Combine -3y^{2} and 7y^{2} to get 4y^{2}.
6y^{4}+4y^{2}+7y
Combine y and 6y to get 7y.
y\left(6y^{3}+4y+7\right)
Factor out y. Polynomial 6y^{3}+4y+7 is not factored since it does not have any rational roots.