Coordinators (and, but, so, or, nor, for*, yet*) connect elements of equal importance.
Gary lives in Ohio, and Deana lives in Michigan.
She loves to dance, so she bought a studio.
You could buy a car, or you could put the money in the bank.
When there is a new subject and verb, a comma is used before (not after) the coordinator.
I hate to sing but, I love to dance. (Incorrect)
I hate to sing, but I love to dance. (Correct)
*For is also commonly used as a preposition. Yet can sometimes be used as an adverb.
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