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2y\left(5x+7\right)-\left(5x+7\right)
Do the grouping 14y+10xy-7-5x=\left(14y+10xy\right)+\left(-7-5x\right), and factor out 2y in the first and -1 in the second group.
\left(5x+7\right)\left(2y-1\right)
Factor out common term 5x+7 by using distributive property.