Ax+by=zfory

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Solution for Ax+by=zfory equation: 


Simplifying
Ax + by = zfory

Reorder the terms:
by + xA = zfory

Solving
by + xA = foryz

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 = foryz + -1xA

Combine like terms: xA + -1xA = 0
by + 0 = foryz + -1xA
by = foryz + -1xA

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

Simplifying
b = forz + -1xy-1A

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