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x=\frac{1}{2}y+4
Divide each term of y+8 by 2 to get \frac{1}{2}y+4.
\frac{1}{2}y+4=x
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}y=x-4
Subtract 4 from both sides.
\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{x-4}{\frac{1}{2}}
Multiply both sides by 2.
y=\frac{x-4}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
y=2x-8
Divide x-4 by \frac{1}{2} by multiplying x-4 by the reciprocal of \frac{1}{2}.
x=\frac{1}{2}y+4
Divide each term of y+8 by 2 to get \frac{1}{2}y+4.