1. **State the problem:** Solve the linear equation $$3309x + 6442y = 13682$$ for one variable in terms of the other. 2. **Formula and rules:** This is a linear equation in two variables. We can express one variable in terms of the other by isolating it. 3. **Isolate $y$:** $$3309x + 6442y = 13682$$ Subtract $3309x$ from both sides: $$6442y = 13682 - 3309x$$ 4. **Solve for $y$:** $$y = \frac{13682 - 3309x}{6442}$$ 5. **Interpretation:** This equation shows $y$ as a function of $x$. For any value of $x$, you can find the corresponding $y$ that satisfies the equation. **Final answer:** $$y = \frac{13682 - 3309x}{6442}$$