Ho Bongie, welcome to Electronics Point.
The problem is the inverter ICya connected to the base of transistor Qx. This voltage will not rise much above 0.7V. You would be best advised connecting it to the output of ICx Pin 3, on the opposite side if the 470Ω Rx.
Another problem is that the base of Qy is connected directly to +5V. I suspect this is a drafting error. If not, I suspect the smoke had all gone out of it. AAAGH! EDIT2: You've drawn it that way for another transistor. RIP transistors
Oh, and if I read the supply voltage of ICz correctly, it's likely you'll drive the output below ground causing problems for ICyb, ICta, and ICz.
My explanation and your circuit would be more readable if you assigned identifiers to the components (Q1, Q2, IC1, IC2a, IC2b, R1, R2, etc.)
I have called the top 555 ICx, the bottom one ICz, the hex inverter ICy, oops, the comparator/op-amp also ICz, the top transistor Qx, and the bottom one Qy.
If you can't figure out what I meant, you need to:
- Label the components,
- Tell us what they are (I assume the logic is CMOS, what is the op amp??),
- and finally take a sharp image
THEN I can give you an explanation which is unambiguous.
edit: There are plenty of other problems. When you redraw the circuit we can work through them. Ask yourself if you need a base resistor on all three of the transistors.