Find the number of values of \( y \) in \( [-2 \pi, 2 \pi] \) for which \( |\sin (2 x)| \) \( +|...

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Find the number of values of \( y \) in \( [-2 \pi, 2 \pi] \) for which \( |\sin (2 x)| \) \( +|\cos (2 x)|=|\sin (y)| \) ?
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