The speed of light revisited

Ok,
I will admit light always leaves it source at c.
(sound always leaves it source the same way)

But how can a lightsource's light be constant
to say an object traveling towards it at 0.5c.

Let's say a lightsource is here on Earth.
so it is in a rest frame WRT to Earth,
and light moving away from such a source
is traveling at c outward from it.
How could such a lightspeed still be the same speed
to an object heading towards it at 0.5c?
How can light violate relative motion like that?


.

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