Questionisentity whichic expressions are equivalent to the given expression $2(2 y+2)$
Which of the following is equivalent to the expression $2(2 y+2)$ ? Select all that apply. A. $4 y+6$ - 2 - $+2=2$ y C. $4 y+4$

Studdy Solution

STEP 1

1. We need to simplify the expression $2(2y + 2)$ .
2. We will compare the simplified expression with the given options to determine equivalence.

STEP 2

1. Simplify the expression $2(2y + 2)$ .
2. Compare the simplified expression with each of the given options.

STEP 3

Distribute the 2 across the terms inside the parentheses:
$2(2y + 2) = 2 \times 2y + 2 \times 2$
This simplifies to:
$4y + 4$

STEP 4

Compare the simplified expression $4y + 4$ with each of the given options:
- Option A: $4y + 6$
This is not equivalent to $4y + 4$ .
- Option B: $2 + 2 = 2y$
This is not a valid expression and does not match $4y + 4$ .
- Option C: $4y + 4$
This is equivalent to $4y + 4$ .
The equivalent expression to $2(2y + 2)$ is:
$\boxed{4y + 4}$
Therefore, the correct answer is Option C.

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