x+qy=r

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Solution for x+qy=r equation: 


Simplifying
x + qy = r

Reorder the terms:
qy + x = r

Solving
qy + x = r

Solving for variable 'q'.

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

Add '-1x' to each side of the equation.
qy + x + -1x = r + -1x

Combine like terms: x + -1x = 0
qy + 0 = r + -1x
qy = r + -1x

Divide each side by 'y'.
q = ry-1 + -1xy-1

Simplifying
q = ry-1 + -1xy-1

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