push away vs push aside

push away and push aside both are verbs.

Word	Noun	Adjective	Verb	Adverb
push away	No	No	Yes	No
push aside	No	No	Yes	No

As verbs, push away and push aside are synonyms defined as:

push away (verb)	push aside (verb)
push out of the way	bar from attention or consideration
	push out of the way