\(\dfrac{\left(-1\right)^3}{15}+\left(-\dfrac{2}{3}\right)^2:2\dfrac{2}{3}-\left|-\dfrac{5}{6}\right|\)
\(=-\dfrac{1}{15}+\dfrac{4}{9}:\dfrac{8}{3}-\dfrac{5}{6}\)
\(=-\dfrac{1}{15}+\dfrac{1}{6}-\dfrac{5}{6}\)
\(=-\dfrac{2}{30}+\dfrac{5}{30}-\dfrac{25}{30}\)
\(=-\dfrac{11}{15}\)