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2x\left(5y-1\right)+3\left(5y-1\right)
Do the grouping 10xy-2x+15y-3=\left(10xy-2x\right)+\left(15y-3\right), and factor out 2x in the first and 3 in the second group.
\left(5y-1\right)\left(2x+3\right)
Factor out common term 5y-1 by using distributive property.