Final answer:
The process to simplify the algebraic expression provided by the student involves combining like terms. The terms with y^2 are added together, as are the terms with y and the constants. The simplified expression is 5.7y^2 + 5y + 4.9.
Step-by-step explanation:
The student's question involves combining like terms and simplifying algebraic expressions. The given expression is 4.7y^2 + 5.4 + 9y - 0.5 - 4y + y^2. To simplify, we combine like terms, which are the terms with the same variable raised to the same power. The like terms involving y^2 are 4.7y^2 and y^2, and the like terms involving y are 9y and -4y. The constants 5.4 and -0.5 can also be combined.
The simplified form of the expression would be found as follows:
- Combine the y^2 terms: 4.7y^2 + y^2 = 5.7y^2.
- Combine the y terms: 9y - 4y = 5y.
- Combine the constant terms: 5.4 - 0.5 = 4.9.
- Put it all together for the simplified expression: 5.7y^2 + 5y + 4.9.
This process of combining like terms and simplifying is a fundamental aspect of algebraic manipulation.