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\frac{6xy+4y+24x+y^{2}}{8}
Factor out \frac{1}{8}.
6x\left(y+4\right)+y\left(y+4\right)
Consider 6xy+4y+24x+y^{2}. Do the grouping 6xy+4y+24x+y^{2}=\left(6xy+24x\right)+\left(y^{2}+4y\right), and factor out 6x in the first and y in the second group.
\left(y+4\right)\left(6x+y\right)
Factor out common term y+4 by using distributive property.
\frac{\left(6x+y\right)\left(y+4\right)}{8}
Rewrite the complete factored expression.