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3x+1=6y+1
Swap sides so that all variable terms are on the left hand side.
3x=6y+1-1
Subtract 1 from both sides.
3x=6y
Subtract 1 from 1 to get 0.
\frac{3x}{3}=\frac{6y}{3}
Divide both sides by 3.
x=\frac{6y}{3}
Dividing by 3 undoes the multiplication by 3.
x=2y
Divide 6y by 3.
6y=3x+1-1
Subtract 1 from both sides.
6y=3x
Subtract 1 from 1 to get 0.
\frac{6y}{6}=\frac{3x}{6}
Divide both sides by 6.
y=\frac{3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{x}{2}
Divide 3x by 6.