4x-6y=12 I need to get it into y=Mx+b form so that I can graph it, but I get lost between steps 1 and 2. I know I should re-arrange the equation, but why do I switch the +/- signs?

These are the steps as they appear in the book:

**4x-6y=12**

step 1) 4x=6y

**+**12 ( the sign changes from + to - )

step 2) 6y=4x

**-**12

step 3) 6y=4x

**-**12

step 4) y=(4/6)x-12/6

solution: y=(2/3)x-2

could you explain the steps to me and

*why*I do what I do in each step. ie:switching signs