ay+cb=d

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Solution for ay+cb=d equation: 


Simplifying
ay + cb = d

Solving
ay + bc = d

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ay + bc + -1bc = -1bc + d

Combine like terms: bc + -1bc = 0
ay + 0 = -1bc + d
ay = -1bc + d

Divide each side by 'y'.
a = -1bcy-1 + dy-1

Simplifying
a = -1bcy-1 + dy-1

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