2x-8(x+y)=y-x

times everything in parenthesis by 8

giving you

2x - 8x - 8y = y - x combine like terms

-6x - 8y = y - x

add x to both side

-5x - 8y= y

-y from both side

-5x -9y=0

and it depends on which variable you want but im sure you can figure it out from here

To solve this equation, we will simplify and then isolate the variable.

First, distribute the -8 to the terms inside the parentheses:

2x - 8x - 8y = y - x

Next, combine like terms on both sides of the equation:

(-6x - 8y) = (y - x)

Now, let's isolate the variable by moving all the x terms to one side of the equation and all the y terms to the other side:

-6x + x = y + 8y

Simplifying further:

-5x = 9y

Now, we can isolate the variable "y" by dividing both sides of the equation by 9:

(-5x) / 9 = y

So, the simplified equation is:

y = (-5/9)x

Therefore, y is equal to -5/9 times x.