Enterprise value (EV) is the total value of a business including debt and excluding cash. Equity value is the shareholders' stake after debt is paid off and cash is netted out. Equity value is sometimes called market capitalization for public companies, or simply "equity value" in private M&A. The two are connected by a bridge calculation that determines what shareholders actually receive when a company is sold. The distinction is the difference between the headline acquisition price (often quoted in EV terms) and the actual amount that flows to shareholders.
The standard bridge calculation: Equity Value = Enterprise Value - Debt + Cash - Other Adjustments (transaction expenses, working-capital adjustme...