Solve for x
x=\frac{y-6}{11}
Solve for y
y=11x+6
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11x+6=y
Swap sides so that all variable terms are on the left hand side.
11x=y-6
Subtract 6 from both sides.
\frac{11x}{11}=\frac{y-6}{11}
Divide both sides by 11.
x=\frac{y-6}{11}
Dividing by 11 undoes the multiplication by 11.
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