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6x=2-5y
Subtract 5y from both sides.
\frac{6x}{6}=\frac{2-5y}{6}
Divide both sides by 6.
x=\frac{2-5y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{5y}{6}+\frac{1}{3}
Divide 2-5y by 6.
5y=2-6x
Subtract 6x from both sides.
\frac{5y}{5}=\frac{2-6x}{5}
Divide both sides by 5.
y=\frac{2-6x}{5}
Dividing by 5 undoes the multiplication by 5.