Yoga Sūtra Chapter Three verse 55

सत्त्वपुरुषयोः शुद्धिसाम्ये कैवल्यम् ॥५५॥

sattva-puruṣayoḥ śuddhi-sāmye kaivalyam ||55||

Equality of purity,
in clarity and animating principle,
is abstraction.

sattva - clarity; the quality of transparency or purity; luminous; honesty; the quality of goodness; material or elementary substance, entity, matter; nature, disposition of mind; being, existence, entity, realitypuruṣa - contentless consciousness; animating principle; unchanging self; pure consciousness; spirit; a person, man, a human being; peopleśuddha - pure, cleansed, cleared, clean, clear, free fromsāmya - equality, evenness, equilibrium, equipoise, equal or normal state; likeness, sameness, identity withkaivalya - independence, freedom, emancipation, solitude, isolation, aloneness, separateness, abstraction, not connected with anything else; uncompounded, unmingled
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Commentaries and Reflections

Commentary by T Krishnamacharya:

Commentary by TKV Desikachar:

Commentary by S Ramaswami:

This Sūtra should not conflict with III 50.
Buddhi is devoid of impurities or the Citta is totally Sattvic. Which means even the distinction between Puruṣan and Prakrti has been disregarded. Even indifference to the Guṇa (I. 16) is there.
The purity of Purusa is recongised by Buddhi and Purusa and Buddhi are as if equal.
The Guṇa merge into themselves are Kaivalya exists.
How is this obtained
1. Difference between Puruṣa and Sattva
2. Puruṣa is Śuddhi
3. Even that thought is given up as Śuddhi of Sattva comes into being this is simultaneous with the realisation and from this comes Kaivalya.
Iti (Finis) from Atha (Commenced).

Commentary by Paul Harvey:

“Kaivalya is the outcome of the
equality of Sattva and Puruṣa.
The clarity of Sattva acquired
through our efforts with Citta,
coexisting with the eternal
abiding awareness of Puruṣa.”