1. We are asked to find the value of $y$ in the equation $$-\frac{3}{7} y = \frac{2}{3}.$$ 2. To isolate $y$, we need to divide both sides of the equation by $-\frac{3}{7}$. The formula for dividing by a fraction is to multiply by its reciprocal. 3. So, $$y = \frac{2}{3} \div -\frac{3}{7} = \frac{2}{3} \times -\frac{7}{3}.$$ 4. Multiply the numerators and denominators: $$y = \frac{2 \times -7}{3 \times 3} = \frac{-14}{9}.$$ 5. Therefore, the value of $y$ is $$y = -\frac{14}{9}.$$