Equity
1. Justice; right. In practice, equity is the impartial distribution of justice, or the doing that to another which the laws of God and man, and of reason, give him a right to claim. It is the treating of a man or woman according to justice and reason.
2. The determination of rights, or title interests, which are not specified, but are inferred from facts and principles of fairness.
3. A partial title interest in a thing.
In law, the term "equity" refers to a particular set of remedies and associated procedures involved with civil law. These equitable doctrines and procedures are distinguished from "legal" ones. While legal remedies typically involve monetary damages, equitable relief typically refers to injunctions, specific performance, or vacatur. A court will typically award equitable remedies when a legal remedy is insufficient or inadequate. For example, courts will typically award equitable relief for a claim which involves a particular or unique piece of real estate, or if the plaintiff requests specific performance.
Courts of Equity are about equitable interest in the Land. A very limited jurisdiction laid out in Article III, section 2
A subset of Roman Civil Law
Origin
The distinction arose in England where there were separate courts of law and courts of equity. Following this pattern in America some states created chancery courts which deal only with equitable relief. In other states, the courts of common law were empowered to exercise equity jurisdiction. Today, separate courts of chancery have largely been abolished, as the same court that may fashion a legal remedy has the power to prescribe an equitable one.
Expansion of Equitable Relief
Courts are sometimes hesitant to impose equitable relief, particularly specific performance. This is because equitable remedies often require the courts to monitor the remedies to make sure that the defendant complies with the court order. However, the Supreme Court has been willing to encourage the use of equitable remedies in certain areas of law.
ERISA
In *CIGNA v. Amara*, 563 U.S. 421 (2011), the Supreme Court held that for violations of ERISA, the aggrieved party may be entitled to "obtain other appropriate equitable relief" in addition to legal remedies. In *Montanile v. Bd. of Trs. of Nat'l Elevator Indus. Health Benefit Plan*, 577 U.S. __ (2016), the Supreme Court narrowed the scope of equitable remedies for ERISA violations. In Montanile, the Court held that a party claiming equitable relief under ERISA is limited to the relief typically available in equity. As applied to ERISA, equitable relief will not extend to a plaintiff enforcing an "equitable lien against the defendant's general assets."
Further Reading
For more on equity, see this UCLA Law Review article, this University of Michigan Law Review article, and this Berkley Law Review article.