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5x\left(6x+1\right)-3y\left(6x+1\right)
Do the grouping 30x^{2}+5x-18xy-3y=\left(30x^{2}+5x\right)+\left(-18xy-3y\right), and factor out 5x in the first and -3y in the second group.
\left(6x+1\right)\left(5x-3y\right)
Factor out common term 6x+1 by using distributive property.