SOLUTION: Solve for the variable. Noninteger answers may be left in fractional or decimal form. 5/6y + 4/9 = 1/6y - 2/5 I can not solve it! can you should me how to work it out?

Algebra ->  Equations -> SOLUTION: Solve for the variable. Noninteger answers may be left in fractional or decimal form. 5/6y + 4/9 = 1/6y - 2/5 I can not solve it! can you should me how to work it out?      Log On


   

Question 317395: Solve for the variable. Noninteger answers may be left in fractional or decimal form.
5/6y + 4/9 = 1/6y - 2/5
I can not solve it! can you should me how to work it out?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285%2F6%29y%2B4%2F9=%281%2F6%29y-2%2F5 Start with the given equation.


Multiply EVERY term by the LCD 90 to clear the fractions.


15%2A5y%2B10%2A4=15y-18%2A2 Multiply and simplify.


75y%2B40=15y-36 Multiply.


75y=15y-36-40 Subtract 40 from both sides.


75y-15y=-36-40 Subtract 15y from both sides.


60y=-36-40 Combine like terms on the left side.


60y=-76 Combine like terms on the right side.


y=%28-76%29%2F%2860%29 Divide both sides by 60 to isolate y.


y=-19%2F15 Reduce.


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Answer:

So the solution is y=-19%2F15