A federal judge allowed a series of challenges to a new state elections law to move forward, setting the stage for a showdown over Republican legislators’ efforts to make it more difficult for Floridians to vote by mail and for organizations to conduct voter-registration drives.

The Florida Conference of the NAACP, Disability Rights Florida, the League of Women Voters of Florida, UnidosUS and a number of other organizations allege that the changes approved by the Legislature this spring could curtail voting by Black, Latino and disabled residents.