1. **State the problem:** Solve the equation $4y + 2x = 754$ for $y$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation by moving other terms to the opposite side. 3. **Isolate $y$:** Subtract $2x$ from both sides: $$4y = 754 - 2x$$ 4. **Divide both sides by 4:** $$y = \frac{754 - 2x}{4}$$ 5. **Simplify the fraction:** $$y = \frac{754}{4} - \frac{2x}{4} = 188.5 - 0.5x$$ **Final answer:** $$y = 188.5 - 0.5x$$