−3y+7y+4y 
3
 −2y 
2
 +6y 
3
 −7y 
3
 −5y

To solve the expression \(-3y + 7y + 4y - 2y^2 + 6y^3 - 7y^3 - 5y\), let's first combine like terms:

1. **Combine the \(y^3\) terms:**
   - \(6y^3 - 7y^3 = -y^3\)

2. **Combine the \(y^2\) terms:**
   - There is only one \(y^2\) term: \(-2y^2\)

3. **Combine the \(y\) terms:**
   - \(-3y + 7y + 4y - 5y = 3y\)

So, the simplified expression is:

\[
-y^3 - 2y^2 + 3y
\]

Would you like further details or have any questions?

Here are 5 related questions you might find useful:
1. How do you identify and combine like terms in polynomial expressions?
2. What is the significance of the degree of a polynomial?
3. How would you factor a polynomial like this one?
4. How do you determine the roots of the polynomial \(-y^3 - 2y^2 + 3y\)?
5. Can you graph the polynomial \(-y^3 - 2y^2 + 3y\) to find its behavior?

**Tip:** Always arrange polynomial terms in descending order by their degree for clarity.

Learn how to simplify the polynomial expression -3y + 7y + 4y - 2y^2 + 6y^3 - 7y^3 - 5y by combining like terms. This step-by-step guide covers key algebraic concepts, including combining like terms and polynomial simplification. Suitable for students in Grades 8-10.

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