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