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Simplify the expression 8c - 4y + 2 + 4y.

A) 8c - 4y + 2
B) 8c - 4
C) 8c + 2
D) 8c

1 Answer

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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

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