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2x=21-6y
Subtract 6y from both sides.
\frac{2x}{2}=\frac{21-6y}{2}
Divide both sides by 2.
x=\frac{21-6y}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{21}{2}-3y
Divide 21-6y by 2.
6y=21-2x
Subtract 2x from both sides.
\frac{6y}{6}=\frac{21-2x}{6}
Divide both sides by 6.
y=\frac{21-2x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{3}+\frac{7}{2}
Divide 21-2x by 6.