Question 334868
{{{abs(3y+1)=abs(2y-7)}}}
You need to solve two equations.
The positive solution: {{{3y+1=2y-7}}}
and the negative solution: {{{3y+1=-(2y-7)}}}
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Positive solution:
{{{y=-8}}}
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Negative solution:
{{{5y=6}}}
{{{y=6/5}}}
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Graphical verification
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{{{drawing(300,300,-10,5,-5,25,circle(-8,23,.35),circle(6/5,18/5+1,.35),grid(1),graph(300,300,-10,5,-5,25,abs(3x+1),abs(2x-7)))}}}