The City Council passed with a veto-proof majority the most expansive plan in years to impose oversight on the NYPD and cleared the way to make it easier to bring racial profiling claims against the police early Thursday.

One bill would establish an inspector general with subpoena power to recommend changes to the NYPD’s policies. A second would give people more latitude if they felt they were stopped because of bias based on race, sexual orientation or certain other factors.