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5\left(4y^{9}+y^{6}\right)
Factor out 5.
y^{6}\left(4y^{3}+1\right)
Consider 4y^{9}+y^{6}. Factor out y^{6}.
5y^{6}\left(4y^{3}+1\right)
Rewrite the complete factored expression. Polynomial 4y^{3}+1 is not factored since it does not have any rational roots.