1. **State the problem:** Determine if the two algebraic expressions evaluated with given values are equivalent. 2. **Expressions given:** - Expression 1: $$\frac{4y}{2} + 4(3x + 3y) - x^3$$ with $x=2$, $y=3$. - Expression 2: $$6x - y^2 + 3(4 + -5)$$ with $x=8$, $y=3$. 3. **Evaluate Expression 1:** $$\frac{4y}{2} + 4(3x + 3y) - x^3 = \frac{4 \times 3}{2} + 4(3 \times 2 + 3 \times 3) - 2^3$$ $$= \frac{12}{2} + 4(6 + 9) - 8$$ $$= 6 + 4(15) - 8$$ $$= 6 + 60 - 8$$ $$= 58$$ 4. **Evaluate Expression 2:** $$6x - y^2 + 3(4 + -5) = 6 \times 8 - 3^2 + 3(4 - 5)$$ $$= 48 - 9 + 3(-1)$$ $$= 48 - 9 - 3$$ $$= 36$$ 5. **Compare results:** Expression 1 evaluates to 58. Expression 2 evaluates to 36. 6. **Conclusion:** Since $58 \neq 36$, the two expressions are **not equivalent** for the given values of $x$ and $y$. **Final answer:** The expressions are not equivalent.