Final answer:
To simplify the expression 8c - 4y + 2 + 4y, combine the like terms -4y and +4y which cancel each other out, resulting in the simplified expression 8c + 2.
Step-by-step explanation:
The student's question asks us to simplify the algebraic expression 8c - 4y + 2 + 4y. When simplifying expressions, we combine like terms. Looking at the expression, we see that -4y and +4y are like terms and thus can be combined. Since they are exactly opposites, they will cancel each other out. This leaves us with the simplified expression:
8c + 2
Therefore, the correct answer is:
C) 8c + 2