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