The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:
Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5
Which of the following explains how to correct Step 2 and shows the correct value of y?
The equation should be y + 8 = 4y after division by 2; y = 4
The equation should be y + 8 = 4y after division by 2; y = 6
2 should be distributed as 2y + 16; y = 4
2 should be distributed as 2y + 16; y = 8
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Step 2 SHOULD have been: 2y+12=4y
then subtract 2y on both sides
and then divide by 2 on both sides
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:
2(y + 6) = 4y simplifies to 12+12=24