Sorting a HashMap By Values Without Losing Duplicates

The below method sorts a HashMap by values without removing duplicates. It works for <String,String> but it can be modified accordingly for other types:

    private LinkedHashMap sortMapByValuesWithDuplicates(Map passedMap) {
        List mapKeys = new ArrayList(passedMap.keySet());
        List mapValues = new ArrayList(passedMap.values());
        Collections.sort(mapValues);
        Collections.sort(mapKeys);

        LinkedHashMap sortedMap = new LinkedHashMap();

        Iterator valueIt = mapValues.iterator();
        while (valueIt.hasNext()) {
            Object val = valueIt.next();
            Iterator keyIt = mapKeys.iterator();

            while (keyIt.hasNext()) {
                Object key = keyIt.next();
                String comp1 = passedMap.get(key).toString();
                String comp2 = val.toString();

                if (comp1.equals(comp2)) {
                    passedMap.remove(key);
                    mapKeys.remove(key);
                    sortedMap.put((String) key, (String) val);
                    break;
                }
            }
        }
        return sortedMap;
    }