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3\left(8y^{6}+y^{2}\right)
Factor out 3.
y^{2}\left(8y^{4}+1\right)
Consider 8y^{6}+y^{2}. Factor out y^{2}.
3y^{2}\left(8y^{4}+1\right)
Rewrite the complete factored expression. Polynomial 8y^{4}+1 is not factored since it does not have any rational roots.