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11x=52-7y
Subtract 7y from both sides.
\frac{11x}{11}=\frac{52-7y}{11}
Divide both sides by 11.
x=\frac{52-7y}{11}
Dividing by 11 undoes the multiplication by 11.
7y=52-11x
Subtract 11x from both sides.
\frac{7y}{7}=\frac{52-11x}{7}
Divide both sides by 7.
y=\frac{52-11x}{7}
Dividing by 7 undoes the multiplication by 7.