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18x=k-12y
Subtract 12y from both sides.
\frac{18x}{18}=\frac{k-12y}{18}
Divide both sides by 18.
x=\frac{k-12y}{18}
Dividing by 18 undoes the multiplication by 18.
x=\frac{k}{18}-\frac{2y}{3}
Divide k-12y by 18.
k=18x+12y
Swap sides so that all variable terms are on the left hand side.