Early voting begins on run-off elections for Dallas City Council Early voting begins on run-off elections for Dallas City Council Six council seats are still to be decided. Courtesy photo May 24 is the first day of early voting for a run-off election that will decide the fate of six city council races in Dallas. The run-off follows an election that took place on May 1, in which all 14 city council seats were on the table. Eight seats were decided; these six remain undecided. The date of the runoff election is June 5. Early voting extends from May 24-June 1. The seats still TBD are as fol...