Question 1103639
Solve first for the absolute value as a variable.


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


Now solve for the two conditions.


{{{system(4y-7=2,or,-4y+7=2)}}}.


First condition
{{{4y=2+7}}}
{{{4y=9}}}
{{{y=9/4}}}

Second condtion
{{{-4y=2-7}}}
{{{4y=7-2}}}
{{{y=5/4}}}


Solution: {{{system(y=9/4,OR,y=5/4)}}}