The term 'EXTREMELY, INFORMALLY' can be expressed in four different ways using the solutions to the crossword puzzle. The first solution is 'HELLUVA', which is an informal WAY of saying 'hell of a lot' and is used to emphasize the extreme nature of something. The second solution is 'WAY', which is an informal WAY of saying 'VERY' and is used to describe something that is far beyond the norm. The third solution is 'DARN', which is an informal WAY of saying 'DAMN' and is used to express extreme frustration or disappointment. The fourth solution is 'NOEND', which is an informal WAY of saying 'ENDLESS' and is used to describe something that has no limit or boundary.