$$y=-x-11$$
$x=-y-11$
$$-x-11=y$$
$$-x=y+11$$
$$\frac{-x}{-1}=\frac{y+11}{-1}$$
$$x=\frac{y+11}{-1}$$
$$x=-\left(y+11\right)$$
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$y=-\left(x+11\right)$
