To solve the expression \( \frac{2}{3}(-6 + 4) \), we first simplify the expression inside the parentheses:
\[ -6 + 4 = -2 \]
Now substitute \(-2\) back into the expression:
\[ \frac{2}{3} \times (-2) \]
Next, multiply:
\[ \frac{2 \times -2}{3} = \frac{-4}{3} \]
Thus, the final answer is:
\[ \frac{-4}{3} \]