A plant for the manufacture of benzene, with means, which are equipped to form a first feedstock mixture which contains alkylated aromatics and hydrogen, and with at least one reactor, which is equipped partially to convert the alkylated aromatics contained in the first feedstock mixture with the hydrogen contained in the first feedstock mixture to the benzene through hydrodealkylation, thereby obtaining a first product mixture, wherein the first product mixture contains the benzene, the unconverted alkylated aromatics, alkanes with one to three carbon atoms formed in the conversion of the alkylated aromatics to the benzene, and the unconverted hydrogen, and wherein one or more separation units are provided, which are equipped to separate at least a part of the alkanes with one to three carbon atoms and of the hydrogen, thereby obtaining a light-gas fraction from the first product mixture, characterised in that means are provided which are equipped to provide the hydrogen contained in the first feedstock mixture at least in part with the use of a low-temperature separation and to supply to the latter at least one part of a second product mixture, that means are provided, which are equipped to form the second product mixture at least in part through steam cracking of a second feedstock mixture, and that, furthermore, means are provided which are equipped also to supply the light-gas fraction at least in part to the low-temperature separation.