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Solve for q
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x-q=y
Swap sides so that all variable terms are on the left hand side.
-q=y-x
Subtract x from both sides.
\frac{-q}{-1}=\frac{y-x}{-1}
Divide both sides by -1.
q=\frac{y-x}{-1}
Dividing by -1 undoes the multiplication by -1.
q=x-y
Divide y-x by -1.
x-q=y
Swap sides so that all variable terms are on the left hand side.
x=y+q
Add q to both sides.