HashMap<String,String>map=new HashMap<>();

        map.put("R","I");
        map.put("T","U");
        map.put("D","Y");
        map.put("F","B");
        map.put("V","N");
        map.put("C","P");
        map.put("E","W");
        map.put("M","Q");
        map.put("S","A");
        map.put("Y","X");
        return map;
}

public static void removeTheFirstNameDuplicates(Map<String, String> map) {
    //напишите тут ваш код
    Iterator<Map.Entry<String,String>>iterator=map.entrySet().iterator();

    while (iterator.hasNext()){
        Map.Entry<String,String>pair=iterator.next();
        String value=pair.getValue();

        if (pair.getValue().equals(value))
            removeItemFromMapByValue(map, value);

        }
    }