1. **State the problem:** Solve the linear equation $x + 2y = 3$ 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 other terms to the opposite side and dividing by the coefficient of $y$. 3. **Isolate $y$:** $$x + 2y = 3$$ Subtract $x$ from both sides: $$2y = 3 - x$$ 4. **Divide both sides by 2:** $$y = \frac{3 - x}{2}$$ 5. **Interpretation:** This expresses $y$ as a function of $x$. For any value of $x$, you can find the corresponding $y$ that satisfies the equation. **Final answer:** $$y = \frac{3 - x}{2}$$