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