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3\left(-4x^{2}y+6xy-5y\right)
Factor out 3.
y\left(-4x^{2}+6x-5\right)
Consider -4x^{2}y+6xy-5y. Factor out y.
3y\left(-4x^{2}+6x-5\right)
Rewrite the complete factored expression. Polynomial -4x^{2}+6x-5 is not factored since it does not have any rational roots.