You can pay your New York taxes owed by using the IT-201-V Payment Voucher For Income Tax Returns and mailing in a check or money order.
To view payment options for New York personal income taxes, you can do so at the link below:
https://www.tax.ny.gov/pay/ind/pay_income_tax_online.htm
This is the direct link to the form:
https://www.tax.ny.gov/pdf/current_forms/it/it201v_fill_in.pdf
