New York, June 30 (TIWN) New York State Governor Kathy Hochul led by a big margin in Democratic primary election, taking one step closer towards seeking a full term in November.

Hochul was serving as an under-the-radar lieutenant governor under the shadow of former Gov. Andrew Cuomo until last year, when he resigned amid sexual harassment allegations, catapulting her into office.  Hochul beat back primary challenges Tuesday from New York City’s elected public advocate, Jumaane Williams, and U.S. Rep. Tom Suozzi, a moderate from Long Island. She now turns her eyes to becoming the first woman to win election to the New York governor’s office this fall.  In a nod to the barrier-breaking campaign, Hochul gave an election night speech Tuesday on a stage underneath a glass ceiling at an event space in Manhattan.  “I’m also here because I stand on the shoulders of generations of women, generations of women who constantly had to bang up against that glass ceiling. To the women of New York, this one’s for you," Hochul said.