What they got was full suffrage or universal suffrage. This means that they could vote and participate in all national elections from that point on and were when it came to that completely the same as men in the eyes of the law. This led to many great things in the future like the 19th amendment and a federation wide suffrage rights.
In 1917, women in New York gained the right to vote in state elections, marking a significant step in the women's suffrage movement. This achievement paved the way for the eventual ratification of the 19th Amendment in 1920, which granted women the right to vote nationwide. The New York suffrage victory demonstrated the growing momentum for women's rights and equality in the electoral process.
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