Final answer:
The given algebraic expression simplifies to 2x³ - x² - 5y by combining like terms of x³, x², and y.
Step-by-step explanation:
When simplifying the given expression (6x³-3x²)-(8y-4x³+2x2)+(3y-4x²), we need to combine like terms. Here is the step-by-step solution:
- Combine all the terms with x³: 6x³ - 4x³ = 2x³.
- Combine all the terms with x²: -3x² - 2x² + 4x² = -x².
- Combine all the terms with y: -8y + 3y = -5y.
Putting it all together, the simplified expression is 2x³ - x² - 5y.