“Let's just not bother cooking tonight.”
Last night, you had a party and you have a lot of leftover food. You don't want to cook tonight. You suggest this to your family.
Let's just not bother cooking tonight.
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just (do something)
You use this phrase when the action you're describing seems easy, simple, fast, unimportant, or unexciting:
I just googled "new york florist" and that was the first shop that came up, so I called them.
A: What did you do this weekend?
B: I just sat at home and watched T.V.
let's not (do something)
When you want to suggest that people in a group not do something, you can say "let's not ___". For example:
Let's not go out tonight.
You can use "Let's not ___" when you're suggesting something that you're sure the listener will agree with. In the example above, you think that everyone will agree that it's a good idea not to cook.
not bother (doing something)
The phrase "not bother ___ing" means to not do something that isn't needed. For example:
Don't bother washing those — I'll put them in the dish washer later.
I don't bother shaving on the weekend unless I have to go out to meet with someone.