A(bx+y)=c

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Solution for A(bx+y)=c equation: 


Simplifying
A(bx + y) = c
(bx * A + y * A) = c
(bxA + yA) = c

Solving
bxA + yA = c

Solving for variable 'b'.

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

Add '-1yA' to each side of the equation.
bxA + yA + -1yA = c + -1yA

Combine like terms: yA + -1yA = 0
bxA + 0 = c + -1yA
bxA = c + -1yA

Divide each side by 'xA'.
b = cx-1A-1 + -1x-1y

Simplifying
b = cx-1A-1 + -1x-1y

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