1. **State the problem:** Simplify the expression $$\frac{4x}{y} + \frac{6}{y}$$. 2. **Identify the common denominator:** Both terms have the denominator $y$. 3. **Combine the numerators over the common denominator:** $$\frac{4x}{y} + \frac{6}{y} = \frac{4x + 6}{y}$$ 4. **Factor the numerator if possible:** $$4x + 6 = 2(2x + 3)$$ 5. **Write the simplified expression:** $$\frac{2(2x + 3)}{y}$$ This is the simplified form of the given expression. **Final answer:** $$\frac{2(2x + 3)}{y}$$