Final answer:
To simplify the expression 14y + 11 + 12y - 5, combine like terms to get 26y + 6. Like terms are combined by adding or subtracting their coefficients. Checking the answer ensures that the simplification process was done correctly.
Step-by-step explanation:
To simplify the algebraic expression 14y + 11 + 12y - 5, you need to combine like terms. Like terms are terms that contain the same variable raised to the same power. In this case, 14y and 12y are like terms because they both contain the variable y raised to the first power.
- Combine 14y and 12y to get 26y.
- Combine 11 and -5 to get 6.
- The simplified expression becomes 26y + 6.
After simplifying, always check the answer to make sure it is reasonable. Here, combining like terms correctly has led to a simpler expression that still represents the same value.