Solve for y.
–5y – 9 = –(y – 1)
a) - 1/2
b) - 2 1/2
c) -2
d) 1 2/5
To solve for y, we can start by distributing the negative sign on the right side of the equation.
–5y – 9 = –(y – 1)
–5y – 9 = –y + 1
Next, we can group the y terms on one side of the equation by adding y to both sides.
–5y + y – 9 = –y + y + 1
–4y – 9 = 1
Then, we can isolate the y term by adding 9 to both sides.
–4y – 9 + 9 = 1 + 9
–4y = 10
Now, we can solve for y by dividing both sides of the equation by -4.
–4y/-4 = 10/-4
y = -10/4
Simplifying the fraction, we have:
y = -5/2
Therefore, the answer is:
y = -2 1/2
The correct option is b) - 2 1/2.
To solve for y, let's start by simplifying the equation:
First, distribute the negative sign to both terms inside the parentheses:
–5y – 9 = –y + 1
Next, let's combine like terms by adding y to both sides of the equation:
–5y + y – 9 = 1
Simplifying further, we have:
–4y – 9 = 1
To isolate the variable y, let's get rid of the constant term on the left side by adding 9 to both sides of the equation:
–4y – 9 + 9 = 1 + 9
This simplifies to:
–4y = 10
Finally, solve for y by dividing both sides of the equation by –4:
y = 10/–4
Therefore, y = –5/2 or y = -2 1/2
The correct answer is (b) - 2 1/2.