Question

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

Answer 1

You cannot combine 2 and y because they are not like terms.  The answer is D.

Answer 2

Step 2 should be distributed as 2y+16;y=8