Any specific amendment or amendments to this Constitution may be proposed in the Senate or General Assembly. At least twenty calendar days prior to the first vote thereon in the house in which such amendment or amendments are first introduced, the same shall be printed and placed on the desks of the members of each house. Thereafter and prior to such vote a public hearing shall be held thereon. If the proposed amendment or amendments or any of them shall be agreed to by three-fifths of all the members of each of the respective houses, the same shall be submitted to the people. If the same or any of them shall be agreed to by less than three-fifths but nevertheless by a majority of all the members of each of the respective houses, such proposed amendment or amendments shall be referred to the Legislature in the next legislative year; and if in that year the same or any of them shall be agreed to by a majority of all the members of each of the respective houses, then such amendment or amendments shall be submitted to the people.