Difference between laytime and laydays ?

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Laydays - The period of days during which the ship must present herself at the loading port, and during which charterers are obliged to accept the ship for loading.
Cancelling date is the final layday after which, if the ship presents herself at the loading port, charterers have no obligation to load the cargo.
For example, a lay/can of 18/22 would mean that the first layday is the 18th of the month, and the final layday, or cancelling date, is the 22nd.  

Laytime - The period of time agreed between the shipowner and charterer during which the owner will make and keep the ship available for loading and/or discharging without payment additional to the freight. Laytime is measured in days, hours and minutes, and can be considered as a reservoir of time that is gradually used up by the charterer.

Three conditions must be met before laytime can commence
(1) The vessel must be an arrived ship
(2) she must be fully ready to load or discharge  and
(3) notice of readiness must have been tendered in accordance with the Charterparty.