Bx-ax=y

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Solution for Bx-ax=y equation: 


Simplifying
Bx + -1ax = y

Reorder the terms:
-1ax + xB = y

Solving
-1ax + xB = y

Solving for variable 'a'.

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

Add '-1xB' to each side of the equation.
-1ax + xB + -1xB = -1xB + y

Combine like terms: xB + -1xB = 0
-1ax + 0 = -1xB + y
-1ax = -1xB + y

Divide each side by '-1x'.
a = B + -1x-1y

Simplifying
a = B + -1x-1y

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