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6x=2-7y
Subtract 7y from both sides.
\frac{6x}{6}=\frac{2-7y}{6}
Divide both sides by 6.
x=\frac{2-7y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{7y}{6}+\frac{1}{3}
Divide 2-7y by 6.
7y=2-6x
Subtract 6x from both sides.
\frac{7y}{7}=\frac{2-6x}{7}
Divide both sides by 7.
y=\frac{2-6x}{7}
Dividing by 7 undoes the multiplication by 7.