Solve for x
x=2\left(y+4\right)
Solve for y
y=\frac{x-8}{2}
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\frac{1}{2}x-4=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=y+4
Add 4 to both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y+4}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{y+4}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2y+8
Divide y+4 by \frac{1}{2} by multiplying y+4 by the reciprocal of \frac{1}{2}.
Examples
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