It's "Hear hear!", abbreviation for something like "Hear all ye good people, hear what this right and eloquent speaker has to say"
Now, justice, equity, equality and fairness are all linked but do not arise in every legal dispute or law. It's interesting and important to note how this occurs.
Justice - Really, these days this is basically just the proper administration of the law if you think about it. E.g. Justice can be done like this, a woman who kills her abusive husband is sent to gaol for life. Justice is served, but is fairness? No.
Fairness - Fairness would be the aquittal of this wronged woman in theory but then that would mean justice would not be served. Fairness basically means free from favouritism etc but also is used for a "fair" or "just" outcome for say the real victim in this case.
Equality - Everyone is treated equally by the law. Of course the problem here is that if everyone is treated exactly the same by the law it is being less fair and less just to some people than it is to others. Also look at equality of outcomes and equality of opportunity... basically creating unequal laws (e.g. Affirmative Action) to create equality overall...
Equity - Equity courts were separate from that of the common law courts in old England. This was usually handed by the Court of Equity/Chancery Courts which were merged with the common law courts in 1873, basically when the Judicature Acts in Britain merged the Eccalastical courts as well (1873-1875). Equity was basically a way of avoiding the rigidity of the common law courts for a just and fair outcome to be reached.
All of this is steeped in semantics, because they have very similar meanings to each other sometimes...