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