1. **State the problem:** Solve the equation $2y = 6x + 8$ for $y$. 2. **Formula and rules:** To isolate $y$, divide both sides of the equation by 2. 3. **Intermediate work:** $$2y = 6x + 8$$ Divide both sides by 2: $$\frac{\cancel{2}y}{\cancel{2}} = \frac{6x + 8}{2}$$ 4. **Simplify the right side:** $$y = \frac{6x}{2} + \frac{8}{2}$$ $$y = 3x + 4$$ 5. **Explanation:** We divided both sides by 2 to isolate $y$. Then we simplified each term on the right side by dividing by 2. **Final answer:** $$y = 3x + 4$$