Multi-step equations involve four main steps: 1) Distribute, 2) Combine like terms, 3) Move the variable to one side of the equation, and 4) Isolate the variable. For example, to solve the equation 7(x+9) - 10 = 2x + 6, one would first distribute the 7, then combine like terms, move all x terms to the left side, and finally isolate x by itself on one side of the equal sign. The key steps are distributing, combining like terms, and isolating the variable.