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