<PRE><B>Question 121221</B>


{{{3(y-17)=-5(y-23)}}} Start with the given equation




{{{3y-51=-5y+115}}} Distribute



{{{3y=-5y+115+51}}}Add 51 to both sides



{{{3y+5y=115+51}}} Add 5y to both sides



{{{8y=115+51}}} Combine like terms on the left side



{{{8y=166}}} Combine like terms on the right side



{{{y=(166)/(8)}}} Divide both sides by 8 to isolate y




{{{y=83/4}}} Reduce


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Answer:

So our answer is {{{y=83/4}}}  (which is approximately {{{y=20.75}}} in decimal form)

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