The Council vacating any street or part of street or changing the name of any street may include in one ordinance the change of name or the vacation or narrowing of more than one street, avenue, or alley, but before vacating any street or part thereof, or narrowing any street, the Council shall first pass a resolution declaring its intention so to do. The Clerk of the Council shall cause notice of such declaration to be served in the manner that service of summons is required to be made upon all persons whose property abuts upon the part of the street affected by the proposed vacation or narrowing and by publication once in one newspaper of general circulation in the City as to all the persons who cannot be personally served. Said notice shall state the time and place when objections can be heard before the Board of Revision of Assessments. Upon the report by the Board of Revision of Assessments approving the proposed vacation or narrowing, the Council may by ordinance declare such vacation or narrowing, and such order of Council vacating or narrowing a street or alley which has been dedicated to public use by the proprietor, shall to the extent to which it is vacated or narrowed operate as a revocation of the acceptance thereof by Council, but the right of way and easement therein of any lot owner shall not be impaired thereby.