Here's how I did it. I made 2 hatches in the beginning and got gas really quickly. Got more minerals to ther right. You have to fight off some red terrans before you can take it. Get lair asap and sacs for your ovies then speed. Get some range/speed upgraded hydras and take the cliff away from the brown terran and infest their CC from there as well as using the resoucres. Brown will down easily from this point. Use those resources as well. Once done get some guardians/mutas and overlords to kill the red base(infesting their CC, of course). Once done, take their resources if you're running low and wait for 10,000 minerals. Easy mission. You don't know HARD until you reach the last one.
BTW, don't let Fenix fight, except in the beginning with ultra support.