Data Structures, Algorithms, & Applications in Java
Chapter 6, Exercise 5

/** @return index of last occurrence of theElement,
  * return -1 if theElement not in list */
public int lastIndexOf(Object theElement)
{
   // search the chain for theElement
   ChainNode currentNode = firstNode;
   int index = 0;              // index of currentNode
   int indexToReturn = -1;     // most recent index where theElement seen
   while (currentNode != null)
   {
      if (currentNode.element.equals(theElement))
         indexToReturn = index;

      // move to next node
      currentNode = currentNode.next;
      index++;
   }

   return indexToReturn;
}