MHB How to Solve a Differential Equation Using Separation of Variables?

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Can someone please help me solve the following using separation of variables:

dy/dx = (xy + 3x -y-3)/(xy -4x+6y-24)

so that the solution is written in the form: ((x+6)/(y+3))^7 =
 
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What do you get when you factor the numerator and denominator of the right side?
 

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