Question: Which expressions are equivalent to $$2y + y + y + 5$$? Choose 3 answers: A $$y + y + y + 5$$ B $$4y + 5$$ C $$5y + 4$$ D $$2(2y + 1) + 3$$ E $$y + y + y + y + 5$$
1. **State the problem:** We need to find which three expressions among A, B, C, D, and E are equivalent to $$2y + y + y + 5$$.
2. **Simplify the original expression:**
$$2y + y + y + 5 = (2y + y + y) + 5 = 4y + 5$$
3. **Check each option:**
- A: $$y + y + y + 5 = 3y + 5$$ which is not equal to $$4y + 5$$.
- B: $$4y + 5$$ exactly matches the simplified original expression.
- C: $$5y + 4$$ is different from $$4y + 5$$.
- D: Simplify $$2(2y + 1) + 3$$:
$$2(2y + 1) + 3 = 4y + 2 + 3 = 4y + 5$$ which matches the original.
- E: $$y + y + y + y + 5 = 4y + 5$$ which matches the original.
4. **Conclusion:** The equivalent expressions are B, D, and E.