Ax-Bc=Dy

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Solution for Ax-Bc=Dy equation: 


Simplifying
Ax + -1Bc = Dy

Reorder the terms:
-1cB + xA = Dy

Solving
-1cB + xA = yD

Solving for variable 'c'.

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

Add '-1xA' to each side of the equation.
-1cB + xA + -1xA = -1xA + yD

Combine like terms: xA + -1xA = 0
-1cB + 0 = -1xA + yD
-1cB = -1xA + yD

Divide each side by '-1B'.
c = xAB-1 + -1yB-1D

Simplifying
c = xAB-1 + -1yB-1D

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