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3x^{2}\left(4x-7\right)+2y\left(4x-7\right)
Do the grouping 12x^{3}-21x^{2}+8xy-14y=\left(12x^{3}-21x^{2}\right)+\left(8xy-14y\right), and factor out 3x^{2} in the first and 2y in the second group.
\left(4x-7\right)\left(3x^{2}+2y\right)
Factor out common term 4x-7 by using distributive property.