Question 157589
First simplify, till only absolute value argument is on one side, everything else is on the other.
{{{5*abs(y+9)=15}}}
{{{abs(y+9)=3}}} Divide both sides by 5.
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Absolute value problems are really two problems in one:positive solution and negative solution.
Let's do positive solution first.
{{{(y+9)=3}}}
{{{y=-6}}}
Now the negative solution,
{{{-(y+9)=3}}}
{{{-y-9=3}}}
{{{-y=12}}}
{{{y=-12}}}
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The solutions are y=-6 and y=-12.