Question

a common mistake has been made. click the step where the mistake was made. type what the line should be. then, solve the equation correctly.
a. choose the step where the mistake first occurred.
step 1: $-2(y - 2) + 2 = 6$
step 2: $-2y - 4 + 2 = 6$
step 3: $-2y - 2 = 6$
step 4: $-2y = 8$
step 5: $y = -4$
b. type the identified equation step with the mistake corrected.
blank
c. solve the equation correctly. $y =$ blank
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Explanation:

Step1: Identify the error step

Mistake in Step 2: $-2(y-2)$ expanded incorrectly.

Step2: Correct the expansion

$-2(y-2) = -2y + 4$, so corrected Step 2: $-2y + 4 + 2 = 6$

Step3: Combine constant terms

$4+2=6$, so $-2y + 6 = 6$

Step4: Isolate the variable term

Subtract 6 from both sides: $-2y = 6 - 6$
$-2y = 0$

Step5: Solve for $y$

Divide by $-2$: $y = \frac{0}{-2}$

Answer:

A. Step 2: $-2y - 4 + 2 = 6$
B. $-2y + 4 + 2 = 6$
C. $y = 0$