SOLUTION: 4/5y-4=-9/10y+1

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Question 642930: 4/5y-4=-9/10y+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F5%29y-4=-%289%2F10%29y%2B1 Start with the given equation.


10%28%284%2Fcross%285%29%29y-4%29=10%28-%289%2Fcross%2810%29%29y%2B1%29 Multiply both sides by the LCD 10 to clear any fractions.


8y-40=-9y%2B10 Distribute and multiply.


8y=-9y%2B10%2B40 Add 40 to both sides.


8y%2B9y=10%2B40 Add 9y to both sides.


17y=10%2B40 Combine like terms on the left side.


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


y=%2850%29%2F%2817%29 Divide both sides by 17 to isolate y.


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Answer:

So the solution is y=50%2F17