1. **State the problem:** Solve the equation $3x - 2y = 2$ for $y$. 2. **Isolate $y$:** To solve for $y$, we want to get $y$ alone on one side of the equation. Start by subtracting $3x$ from both sides: $$3x - 2y = 2 \implies -2y = 2 - 3x$$ 3. **Divide both sides by $-2$:** To isolate $y$, divide every term by $-2$: $$y = \frac{2 - 3x}{-2}$$ 4. **Simplify the fraction:** Split the fraction into two parts: $$y = \frac{2}{-2} - \frac{3x}{-2}$$ $$y = -1 + \frac{3x}{2}$$ 5. **Rewrite the expression:** The final expression for $y$ is: $$y = \frac{3}{2}x - 1$$ This means $y$ is expressed as a function of $x$ where the slope is $\frac{3}{2}$ and the y-intercept is $-1$. **Final answer:** $$y = \frac{3}{2}x - 1$$