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4x\left(5y+6\right)+3\left(5y+6\right)
Do the grouping 20xy+24x+15y+18=\left(20xy+24x\right)+\left(15y+18\right), and factor out 4x in the first and 3 in the second group.
\left(5y+6\right)\left(4x+3\right)
Factor out common term 5y+6 by using distributive property.