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Śrīmad-Bhāgavatam 3.11.22

త్రిలోక్యా యుగసాహస్రం బహిరాబ్రహ్మణో దినమ్ । తావత్యేవ నిశా తాత యన్నిమీలతి విశ్వసృక్ ॥ ౨౨ ॥
tri-lokyā yuga-sāhasraṁ
[tri-lokyaa yuga-saahasram]
bahir ābrahmaṇo dinam
[bahir aabrahmano dinam]
tāvaty eva niśā tāta
[taavaty eva nishaa taata]
yan nimīlati viśva-sṛk
[yan nimeelati vishva-srik]
Word-for-word
tri-lokyāḥ — of the three worlds yuga — the four yugas sāhasram — one thousand bahiḥ — outside of ābrahmaṇaḥ — up to Brahmaloka dinam — is a day tāvatī — a similar (period) eva — certainly niśā — is night tāta — O dear one yat — because nimīlati — goes to sleep viśva-sṛk — Brahmā.
Blended reading (Sanskrit + English inline)
tri-lokyā yuga-sāhasraṁ
tri-lokyāḥ
of the three worlds
yuga
the four yugas
sāhasram
one thousand
bahir ābrahmaṇo dinam
bahiḥ
outside of
ābrahmaṇaḥ
up to Brahmaloka
dinam
is a day
tāvaty eva niśā tāta
tāvatī
a similar (period)
eva
certainly
niśā
is night
tāta
O dear one
yan nimīlati viśva-sṛk
yat
because
nimīlati
goes to sleep
viśva-sṛk
Brahmā.
Outside of the three planetary systems [Svarga, Martya and Pātāla], the four yugas multiplied by one thousand comprise one day on the planet of Brahmā. A similar period comprises a night of Brahmā, in which the creator of the universe goes to sleep.
Purport

When Brahmā goes to sleep in his nighttime, the three planetary systems below Brahmaloka are all submerged in the water of devastation. In his sleeping condition, Brahmā dreams about the Garbhodakaśāyī Viṣṇu and takes instruction from the Lord for the rehabilitation of the devastated area of space.

— A.C. Bhaktivedanta Swami Prabhupāda
Gauḍīya Ācāryas
Viśvanātha Cakravartī Ṭhākura Gauḍīya
Translation
O Vidura! Beyond Svargaloka and extending to Brahmaloka, one day is equal to one thousand yuga cycles or 4,320,000,000 years. The night when Brahmā sleeps is the same duration. Beyond the three worlds (tri-lokyāḥ baḥiḥ), above Svarga, from Maharloka to Brahmaloka, one thousand cycles of four yugas equals a day. In the night Brahmā falls asleep. He sleeps following the sleep of Garbhodakaśāyī Viṣṇu. Thus a day and night of Brahmā is equal to two thousand yuga cycles. For mankind that is 8,640,000,000 years.
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Source: vedabase.io

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