Question

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

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

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

The equation should be y + 4 = 4y after division by 2; y = 5
The equation should be y + 4 = 4y after division by 2; y = 2
2 should be distributed as 2y + 8; y = 4
2 should be distributed as 2y + 8; y = 2

Answer 1

Yea the other person is very much so correct

Answer 2

2 should be distributed as 2y+8; y=4

Explanation:

Step 1: Simplify both sides of the equation.

(2)(y)+(2)(4)=4y(Distribute)

2y+8=4y

Step 2: Subtract 4y from both sides.

2y+8−4y=4y−4y

−2y+8=0

Step 3: Subtract 8 from both sides.

−2y+8−8=0−8

−2y=−8

Step 4: Divide both sides by -2.