The Text

1845 Constitutional Amendment:
No property qualification shall be required to render a person eligible to or capable of holding any office or public trust in this state.

The full provision includes both the amendment and the text it amends – NY Constitution 1822, Article III, Section 2:
No person, except a native citizen of the United States, shall be eligible to the office of governor; nor shall any person be eligible to that office who shall not be a freeholder, and shall not have attained the age of thirty years, and have been five years a resident within this state; unless he shall have been absent during that time, on public business of the United States, or of this state.