It is also worth noting that NY is not a right to work state. This means that the 37 people who voted against the union have no right to not-pay-dues to the union.
If the workers change their mind then, in theory, they will have the opportunity to vote to decertify the union, later in their employment (a minimum of 3 years). Approximately 0 unions a year are decertified this way in the US.
It's not really that big of a problem. In an ideal situation, sure, the union could represent union members and the non-union member would be banned from receiving any benefits bargained for by the union. Unfortunately, if the union has to represent everyone then everyone should pay, which isn't much different than if the <1% in leadership positions at a company makes a dumb decision costing the company money and people their jobs, the entire company is forced to follow the decision and totally uninvolved workers pay the consequences for it. At least in a union, the workers have say in how it operates and what its goals are.
There are 3 options. Non members can free ride, they can pay an agency fee, or they can pay full union dues. The Beck decision (not always well enforced) says that union members have a right not to pay for union costs outside of the agency fee.
They aren't required to, but they have the legal right to insist on it and most unions do. The concern is that, if you choose not to represent everyone, the non-union employees can negotiate better deals than you and they'll still benefit from many kinds of working condition improvements you might want.
If the workers change their mind then, in theory, they will have the opportunity to vote to decertify the union, later in their employment (a minimum of 3 years). Approximately 0 unions a year are decertified this way in the US.