We have the next equation
[tex]3x-6y=-1[/tex]in order to solve for y, we need to clear y
[tex]\begin{gathered} -6y=-1-3x \\ y=\frac{1}{6}+\frac{3}{6}x \\ y=\frac{1}{2}x+\frac{1}{6} \end{gathered}[/tex]the solution for y is
[tex]y=\frac{1}{2}x+\frac{1}{6}[/tex]