Answer
$2\frac{2}{3}.$
Work Step by Step
We simplify by removing the parentheses and add the terms as follows:
$$
\left( -\frac{2}{3} \right)(-6)+\left( -1\frac{1}{3} \right)=\frac{12}{3}-\frac{4}{3}\\
=\frac{12-4}{3}=\frac{8}{3}=2\frac{2}{3}.
$$