Question

Can someone help with this question?

What is the solution to the equation 3/5(y-5) = - (y+3) +2

Answer 1

`(5)/(4)`

Explanation:

Given expression:

`(3)/(5)`(y - 5) = - (y + 3) + 2

To solve this problem, multiply both sides by 5;

5 x
`(3)/(5)`(y - 5) = 5[-(y + 3) + 2}

3(y - 5) = 5(-y - 3 + 2)

expand,

3y - 15 = 5(-y -1)

3y -15 = -5y - 5

Collect like terms;

3y + 5y = -5 + 15

8y = 10

y =
`(10)/(8)` =
`(5)/(4)`