Question 642930
{{{(4/5)y-4=-(9/10)y+1}}} Start with the given equation.



{{{10((4/cross(5))y-4)=10(-(9/cross(10))y+1)}}} Multiply both sides by the LCD {{{10}}} to clear any fractions.



{{{8y-40=-9y+10}}} Distribute and multiply.



{{{8y=-9y+10+40}}} Add {{{40}}} to both sides.



{{{8y+9y=10+40}}} Add {{{9y}}} to both sides.



{{{17y=10+40}}} Combine like terms on the left side.



{{{17y=50}}} Combine like terms on the right side.



{{{y=(50)/(17)}}} Divide both sides by {{{17}}} to isolate {{{y}}}.



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Answer:


So the solution is {{{y=50/17}}}