\[\frac{2}{3} \cdot (x - 6y) - \frac{1}{3} \cdot (2x - y) =\]
\[= \frac{2}{3}x - 4y - \frac{2}{3}x + \frac{1}{3}y =\]
\[= - 3\frac{3}{3}y + \frac{1}{3}y = - 3\frac{2}{3}\text{y.}\]