Final answer:
To combine like terms in the expression 2y²-5+1+2y²-6y²-3-4y, group like terms together. The simplified expression is -2y² - 7 - 4y after combining all like terms.
Step-by-step explanation:
The student is asking to combine like terms in the algebraic expression 2y²-5+1+2y²-6y²-3-4y. To solve this, we group like terms, which are terms that have the same variable raised to the same power.
- Terms with y²: 2y² + 2y² - 6y²
- Constant terms (numbers without variables): -5 + 1 - 3
- Terms with y: -4y
Now we combine them:
- 2y² + 2y² - 6y² = -2y²
- -5 + 1 - 3 = -7
We cannot combine the -4y term with any other term as it is not like the others. So, the final simplified expression is -2y² - 7 - 4y.