How would one write y = 2/3x -4 in standard form?

First read:
http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra1_5-5.xml

Then:

multiply both sides by 3
3y=2x-12
then move terms into standard form
-2x+3y=-12
you could multiply both sides by -1 to get
2x-3y=12
but it is not necessary