Question

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:

Step 1: 2(y + 6) = 4y
Step 2: 2y + 8 = 4y
Step 3: 2y = 8
Step 4: y = 4

Which of the following explains how to correct Step 2 and shows the correct value of y?

2 should be distributed as 2y + 12; y = 6
2 should be distributed as 2y + 12; y = 3
The equation should be y + 6 = 4y after division by 2; y = 2
The equation should be y + 6 = 4y after division by 2; y = 1

Answer 1

Either A or B, since the person screwed up when they added 2+6 rather than multiplying 2*6

Answer 2

After that all you need to do is solve for y :)

Answer 3

Step 2 SHOULD have been: 2y+12=4y

Answer 4

Thank you

Answer 5

@malice so it's b ?

Answer 6

Sorry, I logged off and just now noticed you replied. :)
Actually, when I simplified it, I got A:

Answer 7

2y+12=4y
then subtract 2y on both sides
12=2y
and then divide by 2 on both sides
6=y

Answer 8

A. 2 should be distributed as 2y + 12; y = 6
^this would be the correct answer...again so sorry that I was offline!
If you were to double check, it 6 would work. If you ever get stuck on a problem like this, just plug in the y to see if the solution would be equal:
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2(y + 6) = 4y simplifies to 12+12=24