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2x\left(5y-2\right)-\left(5y-2\right)
Do the grouping 10xy-4x-5y+2=\left(10xy-4x\right)+\left(-5y+2\right), and factor out 2x in the first and -1 in the second group.
\left(5y-2\right)\left(2x-1\right)
Factor out common term 5y-2 by using distributive property.