Determine the value of y in the equation: - 5y-9 = - (y-1) (show all work)

1) - 5y - 9 = - (y - 1)

2) solve the parenthesis of the right side

-5y - 9 = - y + 1

3) add 5y to both sides

5y - 5y - 9 = - y + 5y + 1

- 9 = 4y + 1

4) Subtract 1 from both sides

-9 - 1 = 4y + 1 - 1

-10 = 4y

5) Divide both sides by 4

-10 / 4 = 4y/4

- 2.5 = y

Answer: y = - 2.5