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Can an equation of a line in standard form be written in a way where A, B, or C are either negative or positive? It’s hard to explain… for example

-x+y=-2

Can that be a way to do it? Or would the correct way be like

x-y=2?

Or what about

2x-2y=4? Can I divide by 2 on both sides to rewrite it as

x-y=2? I’m just wondering….