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10\left(7y^{8}+3y^{6}\right)
Factor out 10.
y^{6}\left(7y^{2}+3\right)
Consider 7y^{8}+3y^{6}. Factor out y^{6}.
10y^{6}\left(7y^{2}+3\right)
Rewrite the complete factored expression. Polynomial 7y^{2}+3 is not factored since it does not have any rational roots.