I'm having a little difficulty understanding the structure of sentences clauses. I understand that an independent clause works on its own as a simple sentence and that a dependent clause does not, but I'm having some difficulties identifying them.
I have read that a clause should contain both a subject and a verb and that there should be a relationship between them. But in these examples of independent clauses (found here), they seem to have more than one verb, more than one subject and even contain conjunctions.
Andrew decided to buy a sundae instead of a double-scoop cone.
Peter and Elaine could not decide if they wanted to elope or have a big wedding.
The same site claims this is two independent clauses joined by a coordinating conjunction (a compound sentence).
The beach is a lot of fun, yet the mountains are better.
But surely the last clause doesn't stand on its own.
Lastly, I have read that only coordinating conjunctions can be used to join independent clauses. (for, and, nor, but, or, yet, so)
So can I really not say the below sentence (even though Grammarly thinks it's fine)?
I am going to the park because I like nature.
Any help would be appreciated.