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3x=1+6y
Add 6y to both sides.
3x=6y+1
The equation is in standard form.
\frac{3x}{3}=\frac{6y+1}{3}
Divide both sides by 3.
x=\frac{6y+1}{3}
Dividing by 3 undoes the multiplication by 3.
x=2y+\frac{1}{3}
Divide 1+6y by 3.
-6y=1-3x
Subtract 3x from both sides.
\frac{-6y}{-6}=\frac{1-3x}{-6}
Divide both sides by -6.
y=\frac{1-3x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x}{2}-\frac{1}{6}
Divide 1-3x by -6.