by-ax=cfory

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Solution for by-ax=cfory equation: 


Simplifying
by + -1ax = cfory

Reorder the terms:
-1ax + by = cfory

Solving
-1ax + by = cfory

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
-1ax + by + -1by = -1by + cfory

Combine like terms: by + -1by = 0
-1ax + 0 = -1by + cfory
-1ax = -1by + cfory

Divide each side by '-1x'.
a = bx-1y + -1cforx-1y

Simplifying
a = bx-1y + -1cforx-1y

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