Question

Please help me! Ill give brainliest! 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) 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

2 should be distributed as 2y + 12; y = 6

Step-by-step explanation:

The equation is...

$2(y+6)=4y$

First, we need to distribute the 2 to the numbers in the parentheses. We will multiply them both by 2.

$2y+12=4y$

Now we can subtract 2y from both sides. On the left it will cancel and on the right we will be left with 2y.

$12=2y$

Now we can just divide and...

y = 6