Question

Use the properties of equality to finish solving the equation. 3 4 (20y − 8) + 5 = 1 2 y + 1 4 (20y + 8) 1. Distribute the 3 4 and 1 4 : 2. Combine like terms: 15y − 6 + 5 = 1 2 y + 5y + 2 15y − 1 = 11 2 y + 2 What is the solution?

Answer 1

6/9

Explanation:

Answer 2

The solution of the equation is y = 6/19

Explanation:

Seems the division signs are omitted. The correct equation is given below.

The equation is:

3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)

1. Distribute 3/4 and 1/4, so that we get

15y - 6 + 5 = 1/2y + 5y + 2

2. Combine like terms, we get

15y - 1 = 11/2 y +2

Now, we will collect like terms

15y - 11/2 y = 2 + 1

This can properly written as

`15y - (11)/(2)y = 2 + 1`

`(30y - 11y)/(2) = 3`

`(19y)/(2) = 3`

Then,

`19y = 2 * 3`

19y = 6

∴ y = 6/19

Hence, the solution of the equation is y = 6/19.