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4x=y+2
Add 2 to both sides.
\frac{4x}{4}=\frac{y+2}{4}
Divide both sides by 4.
x=\frac{y+2}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{4}+\frac{1}{2}
Divide y+2 by 4.
y=4x-2
Swap sides so that all variable terms are on the left hand side.