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y\left(2x+1\right)-3\left(2x+1\right)
Do the grouping 2xy+y-6x-3=\left(2xy+y\right)+\left(-6x-3\right), and factor out y in the first and -3 in the second group.
\left(2x+1\right)\left(y-3\right)
Factor out common term 2x+1 by using distributive property.