Solve the equation for Y.

4x-5y=9

This is asking you to rewrite the equation so that Y is alone on one side.

First, move the 4x to the other side:

4x - 5y - 4x = 9 - 4x - - >

-5y = 9 - 4x

Divide both sides by - 5 to get the Y alone:

-5y/-5 = (9-4x) / (-5) - - >

y = (9-4x) / (-5)

You could stop there, but some people like to make the right side look a little simpler. dividing by a negative number looks a little messy, so we rewrite the equation in a few steps. All the below are all the same thing, just written in a different way.

y = - (9-4x) / 5 - - >

y = (-9+4x) / 5 - - >

y = (4x - 9) / 5