Question

Solve for y.

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

Answer choices:
a. -1/2
b. -2 1/2
c. -2
d. -2/5

I am brain-dead. :|

Answer 1

y = -2
`(1)/(2)`

Explanation:

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

-5y - 9 = -y + 1

-5y + y = 1 + 9

-4y = 10

`(-4y)/(-4)` =
`(10)/(-4)`

y = -2
`(2)/(4)` Simplify

y = -2
`(1)/(2)`

Answer 2

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

First, simplify your brackets. / Your problem should look like:
`-5y - 9 = -y + 1`
Second, regroup the terms. / Your problem should look like:
`-5y - 9 = 1 - y`
Third, add 5y to both sides. / Your problem should look like:
`-9 = 1 - y + 5y`
Fourth, simplify 1 - y + 5y to 1 + 4y. / Your problem should look like:
`-9 = 1 + 4y`
Fifth, subtract 1 from both sides. / Your problem should look like:
`-9 - 1 = 4y`
Sixth, subtract -9 - 1 to get -10. / Your problem should look like:
`-10 = 4y`
Seventh, divide both sides by 4. / Your problem should look like:
`-(10)/(4) = y`
Eighth, simplify
`(10)/(4)` to
`(5)/(2)` / Your problem should look like:
`- (5)/(2) = y`
Ninth, switch your sides. / Your problem should look like:
`y = -(5)/(2)`

Answer: y =
`-(5)/(2)`
Answer as decimal: y = -2.5