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×First, kill all brains except the one to the right of the left single pressure plate.
Then, the key is to do a little dance between the pressure plate and the tile either northwest or southeast of it. Because you're staying on this diagonal, the south roach will head directly for you, but the upper one will alternate between horizontal and vertical after a point, making it take longer to reach a plate.
Once the south roach is past the plate, move west and the upper roach will stay in its row. Kill the last brain as you pass by it and you should be able to get to the door before it closes.