<PRE><B>Question 146529</B>

{{{5y/14-8=5-2y/7}}} Start with the given equation.



{{{14(5y/cross(14)-8)=14(5-2y/cross(7))}}} Multiply both sides by the LCD {{{14}}} to clear any fractions.



{{{5y-112=70-4y}}} Distribute and multiply.



{{{5y=70-4y+112}}} Add {{{112}}} to both sides.



{{{5y+4y=70+112}}} Add {{{4y}}} to both sides.



{{{9y=70+112}}} Combine like terms on the left side.



{{{9y=182}}} Combine like terms on the right side.



{{{y=(182)/(9)}}} Divide both sides by {{{9}}} to isolate {{{y}}}.



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Answer:


So the answer is {{{y=182/9}}} 



Which approximates to {{{y=20.222}}} 

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