1. **State the problem:** Solve the equation $x + 0.5y = 6$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, we need to move $x$ to the other side and then divide by the coefficient of $y$, which is $0.5$. 3. **Isolate $y$:** $$x + 0.5y = 6$$ Subtract $x$ from both sides: $$0.5y = 6 - x$$ 4. **Divide both sides by $0.5$ to solve for $y$:** $$y = \frac{6 - x}{0.5}$$ Show canceling the denominator: $$y = \frac{6 - x}{\cancel{0.5}} \times \frac{\cancel{2}}{1} = 2(6 - x)$$ 5. **Simplify:** $$y = 12 - 2x$$ **Final answer:** $$y = 12 - 2x$$