Worried is the simple predicate and both is a simple subject in the sentence "My both parents worried about their families a few miles upstate."
The simple predicate is the main verb or verb phrase that characterizes the action of the subject in a sentence. A simple predicate only consists of the main verb or verb phrase. There are no modifiers in the sentence. Sometimes a verb phrase will "interrupt" or "come in between" a modifier. In this case, the modifier is not part of the underlying predicate. The fundamental predicate is the verb or verb phrase alone, without any modifiers.
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