ay+by=c

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Solution for ay+by=c equation: 


Simplifying
ay + by = c

Solving
ay + by = c

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.
ay + by + -1by = -1by + c

Combine like terms: by + -1by = 0
ay + 0 = -1by + c
ay = -1by + c

Divide each side by 'y'.
a = -1b + cy-1

Simplifying
a = -1b + cy-1

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