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6x=-1+6y
Add 6y to both sides.
6x=6y-1
The equation is in standard form.
\frac{6x}{6}=\frac{6y-1}{6}
Divide both sides by 6.
x=\frac{6y-1}{6}
Dividing by 6 undoes the multiplication by 6.
x=y-\frac{1}{6}
Divide -1+6y by 6.
-6y=-1-6x
Subtract 6x from both sides.
-6y=-6x-1
The equation is in standard form.
\frac{-6y}{-6}=\frac{-6x-1}{-6}
Divide both sides by -6.
y=\frac{-6x-1}{-6}
Dividing by -6 undoes the multiplication by -6.
y=x+\frac{1}{6}
Divide -1-6x by -6.