A(y-v)=x

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Solution for A(y-v)=x equation: 


Simplifying
A(y + -1v) = x

Reorder the terms:
A(-1v + y) = x
(-1v * A + y * A) = x
(-1vA + yA) = x

Solving
-1vA + yA = x

Solving for variable 'v'.

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

Add '-1yA' to each side of the equation.
-1vA + yA + -1yA = x + -1yA

Combine like terms: yA + -1yA = 0
-1vA + 0 = x + -1yA
-1vA = x + -1yA

Divide each side by '-1A'.
v = -1xA-1 + y

Simplifying
v = -1xA-1 + y

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