Question

Solve show explanation -5y-9=-(y-1)

Answer 1

To solve the equation -5y-9=-(y-1), we will need to simplify and isolate the variable, y.

First, let's distribute the negative sign to the terms inside the parentheses on the right side of the equation:

-5y - 9 = -y + 1

Next, let's combine like terms by adding y to both sides of the equation:

-5y + y - 9 = 1

This simplifies to:

-4y - 9 = 1

To isolate the variable, we will add 9 to both sides:

-4y - 9 + 9 = 1 + 9

This simplifies to:

-4y = 10

Finally, we will divide both sides by -4 to solve for y:

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

This simplifies to:

y = -10/4

The final solution is:

y = -5/2 or -2.5