Question

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

Answer 1

The value of y in the equation is -2.5.

Step-by-step explanation:

To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.

Answer 2

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