1

Problem

Solve the equation \$ (6y - 4)/2 = (3y + 1)/4 \$.

2

Step

The given equation

\$ (6y - 4)/2 = (3y + 1)/4 \$

3

Step

Start by multiplying both sides of the equation by the LCM of the denominators, which is 8:

\$8 times ( (6y - 4)/2) = 8 times ((3y + 1)/4) \$

4

Step

After simplification

4(6y - 4) = 2(3y + 1)

5

Step

Expanding both sides:

24y - 16 = 6y + 2

6

Step

To isolate the variable terms on one side, let’s subtract 6y from both sides:

24y - 16 - 6y = 6y + 2 - 6y

18y - 16 = 2

7

Step

Add 16 to both sides:

18y - 16 + 16 = 2 + 16

18y = 18

8

Step

Finally, to solve for y, divide both sides by 18:

\$ 18/18 y = 18/18 \$

9

Solution

After simplification we get y = 1

10

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

11

Choice-A

The equation does not have any solutions where y = 0, so this is not correct

Wrong 0

12

Choice-B

This is correct because the y value satisfies the given equation

Correct 1

13

Choice-C

The equation does not have any solutions where y = - 1, so this is not correct

Wrong -1

14

Choice-D

The equation does not have any solutions where y = - 2, so this is not correct

Wrong -2

15

Step

Option

B

16

Sumup

Please Summarize Choices