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