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2x\left(y+6\right)+y\left(y+6\right)
Do the grouping y^{2}+12x+6y+2xy=\left(2xy+12x\right)+\left(y^{2}+6y\right), and factor out 2x in the first and y in the second group.
\left(y+6\right)\left(2x+y\right)
Factor out common term y+6 by using distributive property.