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Things went from bad to worse when captain Greg Strong was dismissed in the 78th minute for an off-the-ball clash with Paul Tait.
But the Tigers clawed their way back and found an equaliser five minutes from time, with substitute Simon Johnson getting a debut goal.
Stuart Green played a ball down the left, Stuart Elliott crossed and Johnson was there to strike it past Howie and save the defeat.
City manager Jan Molby said: "We finished on a high note which is very important and the second half performance was excellent.
"I thought we played at a real pace after half time. The players pushed themselves and that's what it took to get back into the game. We looked a different side."
City line-up (4-3-3): Glennon; Edwards, Anderson, Strong, Smith (Whittle 80); Greaves (Price), Ashbee, Green; Dudfield (Johnson 60), Bradshaw, Elliott.
Un-used subs: Musselwhite, Williams.