Bhashya
न च आत्मनः संसारित्वम्, अविद्याध्यस्तत्वादात्मनि संसारस्य ।न हि रज्जुशुक्तिकागगनादिषु सर्परजतमलादीनि मिथ्याज्ञानाध्यस्तानि तेषां भवन्तीति ।एतेन सशरीरस्यरोहप्रकारैरनिशं बम्भ्रमन्ति ; किमन्ये क्षुद्रजन्तवो विवेक-हीनाः स्वभावत एव बहिर्विषयापहृतचेतसः ।तस्मादिदंत्यक्तसर्वबाह्यैषणैः अनन्यशरणैः परमहंसपरिव्राजकैः अत्या-श्रमिभिर्वेदान्तविज्ञानपरैरेव वेदनीयं पूज्यतमैः प्राजापत्यंच इमं संप्रदायमनुसरद्भिः उपनिबद्धं प्रकरणचतुष्टयेन ।तथा अनुशासति अद्यापि ' त एव नान्ये ' इति ॥
In plain words
Transmigratory existence does not belong to the Self, because saṃsāra is merely superimposed upon the Atman through ignorance. Just as an illusory snake, silver, or stain projected onto a rope, a shell, or space do not actually belong to those objects, worldly suffering does not belong to the Self. In the same way, embodied beings wander ceaselessly through cycles of birth, not to mention other petty creatures devoid of discrimination whose minds are naturally captured by external objects. Therefore, this work has been composed in four sections by venerable paramahaṃsa renunciates who have abandoned all worldly desires, who rely on no refuge other than Brahman, who are devoted to the realization of Vedanta, and who follow this unbroken lineage originating from Prajapati. Thus they instruct even to this day: 'They alone, and no others.'
Close to the Sanskrit
Nor does transmigratory existence belong to the Atman, because saṃsāra is superimposed upon the Atman through nescience. For illusory entities like a snake, silver, dirt, and darkness superimposed on a rope, mother-of-pearl, and space do not belong to those objects. By this reasoning, those who possess bodies wander ceaselessly through various modes of birth; what about other petty creatures destitute of discrimination, whose minds are naturally snatched away by external objects? Therefore, this has been composed in four sections by venerable paramahaṃsa wanderers who have renounced all external desires, who have taken refuge exclusively in Brahman, who are intent upon the direct knowledge of Vedanta, and who follow this tradition originating from Prajapati. Thus they instruct even today: 'They alone, and no others.'