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6x=2y
Swap sides so that all variable terms are on the left hand side.
\frac{6x}{6}=\frac{2y}{6}
Divide both sides by 6.
x=\frac{2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{3}
Divide 2y by 6.
2y=6x
The equation is in standard form.
\frac{2y}{2}=\frac{6x}{2}
Divide both sides by 2.
y=\frac{6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=3x
Divide 6x by 2.