Xym-bt=z

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Solution for Xym-bt=z equation: 


Simplifying
Xym + -1bt = z

Reorder the terms:
-1bt + myX = z

Solving
-1bt + myX = z

Solving for variable 'b'.

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

Add '-1myX' to each side of the equation.
-1bt + myX + -1myX = -1myX + z

Combine like terms: myX + -1myX = 0
-1bt + 0 = -1myX + z
-1bt = -1myX + z

Divide each side by '-1t'.
b = mt-1yX + -1t-1z

Simplifying
b = mt-1yX + -1t-1z

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