Question 642531
{{{1/12+(3/8)y=5/12+(5/8)y}}} Start with the given equation.



{{{24(1/cross(12)+(3/cross(8))y)=24(5/cross(12)+(5/cross(8))y)}}} Multiply both sides by the LCD {{{24}}} to clear any fractions.



{{{2+9y=10+15y}}} Distribute and multiply.



{{{9y=10+15y-2}}} Subtract {{{2}}} from both sides.



{{{9y-15y=10-2}}} Subtract {{{15y}}} from both sides.



{{{-6y=10-2}}} Combine like terms on the left side.



{{{-6y=8}}} Combine like terms on the right side.



{{{y=(8)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{y}}}.



{{{y=-4/3}}} Reduce.



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Answer:


So the solution is {{{y=-4/3}}}