Question 636894
{{{y/12+1/6=y/2-1/4}}} Start with the given equation.



{{{12(y/cross(12)+1/cross(6))=12(y/cross(2)-1/cross(4))}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{y+2=6y-3}}} Distribute and multiply.



{{{y=6y-3-2}}} Subtract {{{2}}} from both sides.



{{{y-6y=-3-2}}} Subtract {{{6y}}} from both sides.



{{{-5y=-3-2}}} Combine like terms on the left side.



{{{-5y=-5}}} Combine like terms on the right side.



{{{y=(-5)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}.



{{{y=1}}} Reduce.



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Answer:


So the solution is {{{y=1}}}