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? (5 points) a 2 should be distributed as 2y + 12; y = 6 b 2 should be distributed as 2y + 12; y = 3 c The equation should be y + 6 = 4y after division by 2; y = 2 d The equation should be y + 6 = 4y after division by 2; y = 1

Answer 1

Explanation:

The wording is slightly confusing so I will just solve the equation.

2 (y + 6) = 4y

We expand the bracket

2y + 12 = 4y

We subtract 2y from both sides

12 = 2y

We divide both sides by 2

6 = y