Question 179712
{{{sqrt(2y+7)+4=y}}} 
{{{sqrt(2y+7)+4-4=y-4}}}
{{{sqrt(2y+7)=y-4}}}
{{{2y+7=(y-4)^2}}}
{{{2y+7=y^2-8y+16}}}
{{{y^2-10y+9=0}}}
{{{(y-9)(y-1)=0}}}
Two solutions:
{{{x-9=0}}}
{{{x=9}}}
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{{{x-1=0}}}
{{{x=1}}}
Let's check both answers.
{{{sqrt(2y+7)+4=y}}} 
{{{sqrt(2(9)+7)+4=9}}}
{{{sqrt(18+7)+4=9}}}  
{{{sqrt(25)+4=9}}} 
{{{5+4=9}}}
{{{9=9}}}
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{{{sqrt(2(1)+7)+4=1}}} 
{{{sqrt(2+7)+4=1}}}
{{{sqrt(9)+4=1}}}  
{{{-3+4=1}}} 
{{{1=1}}}