$$(0,6 - \frac{14}{15}) \cdot \frac{6}{7} - \frac{8}{35} : (-2\frac{2}{3}) = (\frac{6}{10} - \frac{14}{15}) \cdot \frac{6}{7} - \frac{8}{35} : (-\frac{8}{3}) = (\frac{18}{30} - \frac{28}{30}) \cdot \frac{6}{7} - \frac{8}{35} \cdot (-\frac{3}{8}) = -\frac{10}{30} \cdot \frac{6}{7} + \frac{24}{280} = -\frac{1}{3} \cdot \frac{6}{7} + \frac{3}{35} = -\frac{6}{21} + \frac{3}{35} = -\frac{2}{7} + \frac{3}{35} = -\frac{10}{35} + \frac{3}{35} = -\frac{7}{35} = -\frac{1}{5} = -0,2$$
Ответ: -0,2