Plain English Meaning
VY is the speed that gets you up to a chosen altitude in the least amount of time. Fly at VY when you want to gain height as quickly as possible measured by the clock.
Full Definition
VY is the airspeed that produces the greatest gain in altitude per unit of time. At VY, the difference between the power available from the engine and the power required to maintain level flight is at its maximum, so the airplane climbs to a given altitude in the shortest time.
Context Anchor
You will see VY in climb procedures, performance charts, and pilot operating handbook guidance for normal climbs after takeoff.