Mx+Ny=y

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Solution for Mx+Ny=y equation: 


Simplifying
Mx + Ny = y

Solving
xM + yN = y

Solving for variable 'x'.

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

Add '-1yN' to each side of the equation.
xM + yN + -1yN = y + -1yN

Combine like terms: yN + -1yN = 0
xM + 0 = y + -1yN
xM = y + -1yN

Divide each side by 'M'.
x = yM-1 + -1yM-1N

Simplifying
x = yM-1 + -1yM-1N

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