The Supreme Court justices are expected to hand down opinions Wednesday on two cases involving same-sex marriage.
One of the cases involves the 1996 federal law known as the "Defense of Darriage Dct," or "DOMA". DOMA defines marriage as a union between a man and a woman.
Edie Windsor is suing the federal government to have DOMA declared unconstitutional. Her spouse, Thea Spyer, left her estate to Windsor when she died, but because DOMA doesn't recognize their marriage, Windsor had to pay more than $360,000 in taxes.
"If Thea's name had been Theo, I would have paid no tax," said Windsor.
Justice Ruth Bader Ginsburg suggested during the arguments that DOMA violates the constitution's equal protection clause because it treats same-sex couples differently from heterosexual couples.
"There are two kinds of marriages, the full marriage and then this sort of skim milk marriage," Justin Ginsburg said.
The other case being considered is known as "Proposition Eight", which involves a statewide ban on same-sex marriages that California voters approved in 2008.
The justice's decision on Prop 8, could impact up to 35 states which have approved similar bans. During arguments in March, some of the justices hinted they may not be interested in issuing a ruling with such widespread implications.