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6x=126-11y
Subtract 11y from both sides.
\frac{6x}{6}=\frac{126-11y}{6}
Divide both sides by 6.
x=\frac{126-11y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{11y}{6}+21
Divide 126-11y by 6.