Explaining Faraday's law and Lenz's law

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ehabmozart
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I am sick of searching and being confused more and more specially about lenz law... THere are many demonstrations and many law.. Can someone list atleast the most important one...
 
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Faradays Law is

ε=NΔΦ/Δt?

and Lens added the negative into it which created the formula

ε=-NΔΦ/Δt?