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8x=a-12y
Subtract 12y from both sides.
\frac{8x}{8}=\frac{a-12y}{8}
Divide both sides by 8.
x=\frac{a-12y}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{a}{8}-\frac{3y}{2}
Divide a-12y by 8.
a=8x+12y
Swap sides so that all variable terms are on the left hand side.