SOLUTION: 2/3 +3y=5y-2/15

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Question 97437: 2/3 +3y=5y-2/15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F3%2B3y=5y-2%2F15 Start with the given equation


%2815%29%282%2F3%2B3y%29=%2815%29%285y-2%2F15%29 Multiply both sides by the LCM of 15. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)


10%2B45y=75y-2 Distribute and multiply 15 by each term on both sides


45y=75y-2-10Subtract 10 from both sides


45y-75y=-2-10 Subtract 75y from both sides


-30y=-2-10 Combine like terms on the left side


-30y=-12 Combine like terms on the right side


y=%28-12%29%2F%28-30%29 Divide both sides by -30 to isolate y



y=2+%2F+5 Reduce

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Answer:
So our answer is y=2+%2F+5 (which is y=0.4 in decimal form)