6x-2y=8 solve for Y

Question

I need steps on how to solve this eqation

Answer 1

To "solve for" y means to isolate it on the left side of an equation.  This will result in an expression in terms of x.

 

So:

   6x - 2y = 8

    -2y = -6x + 8             [subtract 6x from both sides]

      y = 3x - 4              [divide both sides by (-2)]

 

Check:

   Does    6x - 2(3x-4) = 8   ?

              6x - 6x + 8 = 8   ?

                       8 = 8   ?yes

Answer 2

First, you need to isolate the y-term on one side of the equation. To do this, you can subtract 6x from both sides.

 

6x - 6x - 2y = 8 - 6x

 

This leaves you with -2y all alone on the left side. 

 

-2y = 8 - 6x

 

Now, divide both sides of the equation by -2 in order to solve for y. 

 

y = (8 - 6x)/(-2) = 8/(-2) - 6x/(-2) = -4 + 3x = 3x - 4 

 

The solution is y = 3x - 4