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4x+6=y
Swap sides so that all variable terms are on the left hand side.
4x=y-6
Subtract 6 from both sides.
\frac{4x}{4}=\frac{y-6}{4}
Divide both sides by 4.
x=\frac{y-6}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{4}-\frac{3}{2}
Divide y-6 by 4.