Solve the equation:
[tex]\begin{gathered} \frac{2}{3}=y+1\frac{1}{6} \\ \end{gathered}[/tex]To solve this expression we need to use inverse operations to solve equations, addition and subtraction are inverse operations, multiplication and division too.
Then,
[tex]\begin{gathered} \frac{2}{3}=y+\frac{7}{6} \\ y=\frac{2}{3}-\frac{7}{6} \\ y=-\frac{1}{2} \end{gathered}[/tex]