1. **State the problem:** Solve the linear equation $13x - 6y = -2$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation. This involves moving terms and dividing by the coefficient of $y$. 3. **Isolate $y$:** $$13x - 6y = -2$$ Subtract $13x$ from both sides: $$-6y = -2 - 13x$$ 4. **Divide both sides by $-6$ to solve for $y$:** $$y = \frac{-2 - 13x}{-6}$$ Use cancellation to simplify: $$y = \frac{\cancel{-}2 + 13x}{\cancel{-}6} = \frac{2 + 13x}{6}$$ 5. **Final simplified form:** $$y = \frac{13x + 2}{6}$$ This expresses $y$ in terms of $x$ clearly and simply.