1. **State the problem:** Solve the equation $-10x + 8y = 0$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, we use basic algebraic operations: addition, subtraction, multiplication, and division. 3. **Isolate $y$:** $$-10x + 8y = 0$$ Add $10x$ to both sides: $$8y = 10x$$ 4. **Divide both sides by 8 to solve for $y$:** $$y = \frac{10x}{8}$$ 5. **Simplify the fraction:** $$y = \frac{5x}{4}$$ **Final answer:** $$y = \frac{5}{4}x$$ This means $y$ is directly proportional to $x$ with a ratio of $\frac{5}{4}$.