Well to a point they won't however now that they've secured a place in CPL football, they'll have a huge injection of revenue (particularly from TV rights) which will help them "balance" their books more along the lines with UEFA's requirements (I think the new rules will allow clubs to register losses of about 40 million pounds).
Last time I checked City's Wage Bill was more than their turnover. Its going to take more than Champs League money to balance those books. Add to that the increasing amorisation of transfer fees and it will take them a couple of years of no spending to work that off.