> They have purplish/green leaves and stems and the leaves resemble
Definitely not Scotch Broom, I have that in spades along the back fence. Scotch Broom is a very woody scrub, which is also almost impossible to eradicate. This is a single plant, almost 4 foot tall when mature with that mass of yellow flowers on top. Like I said, the stem is almost purple.
The absence of visible details makes identification difficult (I can't even tell whether the yellow bits are flowers or capitula), but the habit reminds me of some daisies (Lactuca, Mycelis, ...). Probably not one of those - the flowers/capitula are too large - but perhaps a related genus.
So here are more shots, of the body. It's tough to get a good clear shot of something that is 3 feet long and pencil thin. Here is the base of the weed
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is an attempted total shot of a smaller one
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is a shot of an immature one growing where they seem to grow best - in cracks
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yellow buds at the ends are flowers. They are small 5 petal flowers about 1/2" in diameter, the petals are long and thin and arranged in a nice pentagonal shape. I'm almost inclined to think that these are some kind of Hawkweed.
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If it is some sort of hawkweed, that's more or less what I said. But if it is, then the yellow things are capitula, not flowers. (The "flower" of a daisy is a flower head composed of many florets, technically called a capitulum.)
The only daisy I know with 5 florets in a head (and therefore a really good imitation of a single flower) is wall lettuce, Mycelis muralis.
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daisies have ligulate florets, some have tubular florets, and the majority of both. There is a large group with only ligulate daisies, which comprise the tribe Cichorieae. These include lettuces, sow thistles, hawkweeds, dandelions, and many others. The number of rings of florets, and the number of florets in a ring varies greatly. Those with a single ring of florets include the lettuces (Lactuca), wall lettuces (Mycelis) and, IIRC, alpine sow thistles (Cicerbita), and any others that have escaped my attention or knowledge. Mycelis is the only one, AFAIK, that has only 5 florets.]
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