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2x=y+8
The equation is in standard form.
\frac{2x}{2}=\frac{y+8}{2}
Divide both sides by 2.
x=\frac{y+8}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}+4
Divide 8+y by 2.
8+y=2x
Swap sides so that all variable terms are on the left hand side.
y=2x-8
Subtract 8 from both sides.