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2x-54=12y
Swap sides so that all variable terms are on the left hand side.
2x=12y+54
Add 54 to both sides.
\frac{2x}{2}=\frac{12y+54}{2}
Divide both sides by 2.
x=\frac{12y+54}{2}
Dividing by 2 undoes the multiplication by 2.
x=6y+27
Divide 12y+54 by 2.
12y=2x-54
The equation is in standard form.
\frac{12y}{12}=\frac{2x-54}{12}
Divide both sides by 12.
y=\frac{2x-54}{12}
Dividing by 12 undoes the multiplication by 12.
y=\frac{x}{6}-\frac{9}{2}
Divide -54+2x by 12.