Question 984870
Two conditions can happen for {{{7y+2}}}.  Either it may be non-negative, or it can be negative.  Solve according to BOTH cases separately.


{{{4abs(7y+2)=-7+8}}}


{{{abs(7y+2)=1/4}}}


CASE nonneg
{{{7y+2=1/4}}}
{{{7y=1/4-2}}}
{{{7y=-7/4}}}
{{{highlight(y=-1/4)}}}-------this is only part of the solution.


YOU do the other case.
Check BOTH results to see if each works.