Contact the search engine directly to request the erasure of a search result. Out of the search engines, at least Google and Bing have released online forms in Finnish and English that you can use to request that the search engine erase a search result that contains your personal data. Yahoo has a form in English.
Instructions on how to request the erasure of a search result
The search engine is required to reply to your request within one month. If the requests are numerous or complex, the search engine can reply that it needs more time to process them. If the search engine announces that it needs more time for processing, the deadline for replying will be three months from your original request. Wait for the search engine's reply. Notifying you of a longer processing time does not mean that the search engine will refuse to erase the data.
If the search engine refuses to erase the data you have requested, it must state the reasons for its refusal. The refusal must always be based on law. If you feel that the search engine did not have legal grounds for its refusal, you can contact the Data Protection Ombudsman, if necessary.