Ax+By=Cy

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Solution for Ax+By=Cy equation: 


Simplifying
Ax + By = Cy

Solving
xA + yB = yC

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1yB' to each side of the equation.
xA + yB + -1yB = -1yB + yC

Combine like terms: yB + -1yB = 0
xA + 0 = -1yB + yC
xA = -1yB + yC

Divide each side by 'A'.
x = -1yA-1B + yA-1C

Simplifying
x = -1yA-1B + yA-1C

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