The equation in the image is:

$(5 - 6y - 4y^2) - (-2y^2 + 5y + 12y^3)$

Now, let's simplify the expression step by step.

Step 1: Distribute the negative sign across the second parenthesis

$(5 - 6y - 4y^2) - (-2y^2 + 5y + 12y^3)$ becomes: $5 - 6y - 4y^2 + 2y^2 - 5y - 12y^3$

Step 2: Combine like terms

• The constants: $5$
• The $y^1$ terms: $-6y - 5y = -11y$
• The $y^2$ terms: $-4y^2 + 2y^2 = -2y^2$
• The $y^3$ term: $-12y^3$

Thus, the simplified expression is: $5 - 11y - 2y^2 - 12y^3$

Would you like any additional clarification or details? Here are some related questions:

1. How do you factor cubic expressions?
2. Can this expression be solved for $y$?
3. What does each term represent graphically?
4. How does distributing negative signs impact equations?
5. What are other methods to simplify polynomials?

Tip: Always remember to handle negative signs carefully when simplifying expressions.