By Lucy Craymer WELLINGTON, June 9 (Reuters) - The Auckland Council voted on Friday to sell 7% of its 18.09% stake in Auckland Airport (AIA.NZ>), New Zealand's biggest, as part of a plan to reduce the local government body's debt. Mayor Wayne Brown had originally proposed to sell the city's entire stake in the airport to enable local taxes to only rise in line with inflation and services not to be cut. Auckland Council took nearly two days to debate the budget, with protesters interrupting proceedings.