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2y\left(y-3\right)+7x\left(y-3\right)
Do the grouping 2y^{2}-6y+7xy-21x=\left(2y^{2}-6y\right)+\left(7xy-21x\right), and factor out 2y in the first and 7x in the second group.
\left(y-3\right)\left(2y+7x\right)
Factor out common term y-3 by using distributive property.