You should go out not stay at home.

[diamondcutter]

You should go out instead of staying at home.
(by me)

I wonder if the sentence above could be rewritten as follows.

You should go out not stay at home.

 

[tedmc]

It is correct if you add a comma as follows:

You should go out, not stay at home.

 

[diamondcutter]

Thanks, Tedmc.

I wonder if you mean we could say this.


You should go out instead of stay at home.


If so, I think the ‘stay’ is a noun. But I don’t know if it’s common to use it this way.

 

[tedmc]

Thanks, Tedmc.

I wonder if you mean we could say this.


You should go out instead of stay at home.


If so, I think the ‘stay’ is a noun. But I don’t know if it’s common to use it this way.

You are right; instead of should be followed by a gerund or noun phrase.

 

[probus]

You should go out instead of staying at home.
(by me)

I wonder if the sentence above could be rewritten as follows.

You should go out not stay at home.

Perhaps, but why? Your first version is correct and natural, so there is no point in meddling with it.