Question 159349
{{{1+5/(y-1)=7/6}}} Start with the given equation.



{{{6(y-1)+6*5=7(y-1)}}} Multiply <B>EVERY</b> term by the LCD 6(y-1) to clear out the fractions.



{{{6(y-1)+30=7(y-1)}}} Multiply



{{{6y-6+30=7y-7}}} Distribute.



{{{6y+24=7y-7}}} Combine like terms on the left side.



{{{6y=7y-7-24}}} Subtract {{{24}}} from both sides.



{{{6y-7y=-7-24}}} Subtract {{{7y}}} from both sides.



{{{-y=-7-24}}} Combine like terms on the left side.



{{{-y=-31}}} Combine like terms on the right side.



{{{y=(-31)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{y}}}.



{{{y=31}}} Reduce.



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Answer:


So the answer is {{{y=31}}}