Question : Simplify the given expression.
$y+2 x-[(y-(y-x+y)-(x+y)+y]-2 y$
Option 1: $-y$
Option 2: $-2x$
Option 3: $y$
Option 4: $2x$
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Correct Answer: $2x$
Solution :
Given: $y+2x-[(y-(y-x+y)-(x+y)+y]-2 y$
= $y+2x-[(y-(2y-x)-x-y+y]-2 y$
= $y+2x-[y-2y+x-x]-2 y$
= $y+2x-y+2y-2 y$
= $2x$
Hence, the correct answer is $2x$.
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