Given the equation 8(y + 2) = 48, what is the value of "y"?

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To solve the equation 8(y + 2) = 48, the first step is to simplify the equation by dividing both sides by 8. This yields:

y + 2 = 6

Next, subtract 2 from both sides to isolate the variable y:

y = 6 - 2

y = 4

This shows that the value of y is 4. The reasoning follows the correct procedure for solving a linear equation by systematically isolating the variable. Thus, option C is indeed the correct answer.

The process of distributing, simplifying, and isolating the variable is fundamental in algebra, which is why understanding these steps is critical for similar problems.

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