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