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-8x=\frac{1}{2}-4y
Subtract 4y from both sides.
\frac{-8x}{-8}=\frac{\frac{1}{2}-4y}{-8}
Divide both sides by -8.
x=\frac{\frac{1}{2}-4y}{-8}
Dividing by -8 undoes the multiplication by -8.
x=\frac{y}{2}-\frac{1}{16}
Divide \frac{1}{2}-4y by -8.
4y=\frac{1}{2}+8x
Add 8x to both sides.
4y=8x+\frac{1}{2}
The equation is in standard form.
\frac{4y}{4}=\frac{8x+\frac{1}{2}}{4}
Divide both sides by 4.
y=\frac{8x+\frac{1}{2}}{4}
Dividing by 4 undoes the multiplication by 4.
y=2x+\frac{1}{8}
Divide \frac{1}{2}+8x by 4.