A. At the time fixed for receiving and considering the report described in Section 10.70.070, the city council shall hear the same, together with any objections which may be raised by any of the property owners liable to be assessed for the work of abating such nuisance and thereupon make such modifications in the report as they deem necessary, after which, by resolution, the report shall be confirmed.

B. The amount of the cost of abating such nuisance upon, or in the front or rear of, the various lots or parcels of land respectively referred to in such report shall constitute special assessments against such respective lots or parcels of land, and after thus made and confirmed shall constitute a lien on such property for the amount of such assessments until paid.