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2x\left(-b+5k\right)-3y\left(-b+5k\right)
Do the grouping 10kx+3by-2bx-15ky=\left(-2bx+10kx\right)+\left(3by-15ky\right), and factor out 2x in the first and -3y in the second group.
\left(-b+5k\right)\left(2x-3y\right)
Factor out common term -b+5k by using distributive property.