Question 207137
{{{abs(y-(-6))=9}}} Start with the given equation.



{{{abs(y+6)=9}}} Rewrite {{{y-(-6)}}} as {{{y+6}}}



Break up the absolute value (remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}})



{{{y+6=-9}}} or {{{y+6=9}}} Set the expression {{{y+6}}} equal to the original value 9 and it's opposite -9.



Now lets focus on the first equation  {{{y+6=-9}}}



{{{y=-9-6}}}Subtract 6 from both sides



{{{y=-15}}} Combine like terms on the right side



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Now lets focus on the second equation {{{y+6=9}}}



{{{y=9-6}}}Subtract 6 from both sides



{{{y=3}}} Combine like terms on the right side



So the solutions are: {{{x=-15}}} or {{{x=3}}}