Question 690286
{{{(3/4)y-6=(1/4)y+10}}} Start with the given equation.



{{{4((3/cross(4))y-6)=4((1/cross(4))y+10)}}} Multiply both sides by the LCD {{{4}}} to clear any fractions.



{{{3y-24=y+40}}} Distribute and multiply.



{{{3y=y+40+24}}} Add {{{24}}} to both sides.



{{{3y-y=40+24}}} Subtract {{{y}}} from both sides.



{{{2y=40+24}}} Combine like terms on the left side.



{{{2y=64}}} Combine like terms on the right side.



{{{y=(64)/(2)}}} Divide both sides by {{{2}}} to isolate {{{y}}}.



{{{y=32}}} Reduce.



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Answer:


So the solution is {{{y=32}}}