Answer
{$-11,-1$}
Work Step by Step
Given: $2|y+6|=10$
This can also be written as: $|y+6|=5$
As per definition of absolute value, we have
$y+6=5$ and $y+6=-5$
Thus, $y=5-6=-1$ and $y=-5-6=-11$
Hence, {$-11,-1$}
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