factor derivative

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If Dy/Dx = -5sin(5x-3y)+(Dy/Dx(5-3))

Then how can: (1-3*sin(5x-3y))Dy/Dx = -5sin(5x-3y)

And so the derivative is -5sin(5x-3y) / (1-3sin(5x-3y))

How can the derivative dissapear , it's factored but still doesn't make sense to me.

From khanacademy .go check this video because it's confusing on the forum.

https://www.khanacademy.org/math/differential-calculus/dc-chain/dc-implicit-diff-advanced/v/implicit-derivative-of-y-cos-5x-3y