SOLUTION: 5y/7-15=5y+30

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Question 210182: 5y/7-15=5y+30
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5y%2F7-15=5y%2B30 Start with the given equation.


7%285y%2Fcross%287%29-15%29=7%285y%2B30%29 Multiply both sides by the LCD 7 to clear any fractions.


5y-105=35y%2B210 Distribute and multiply.


5y=35y%2B210%2B105 Add 105 to both sides.


5y-35y=210%2B105 Subtract 35y from both sides.


-30y=210%2B105 Combine like terms on the left side.


-30y=315 Combine like terms on the right side.


y=%28315%29%2F%28-30%29 Divide both sides by -30 to isolate y.


y=-21%2F2 Reduce.


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Answer:

So the solution is y=-21%2F2 which in decimal form is y=-10.5.