Ax+by=cx+z

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Solution for Ax+by=cx+z equation: 


Simplifying
Ax + by = cx + z

Reorder the terms:
by + xA = cx + z

Solving
by + xA = cx + z

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
by + xA + -1xA = cx + -1xA + z

Combine like terms: xA + -1xA = 0
by + 0 = cx + -1xA + z
by = cx + -1xA + z

Divide each side by 'y'.
b = cxy-1 + -1xy-1A + y-1z

Simplifying
b = cxy-1 + -1xy-1A + y-1z

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