SOLUTION: solve the following equation: -5(2y-3)=2(1-6y)+14

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Question 414506: solve the following equation:
-5(2y-3)=2(1-6y)+14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-5%282y-3%29=2%281-6y%29%2B14 Start with the given equation.


-10y%2B15=2-12y%2B14 Distribute.


-10y%2B15=-12y%2B16 Combine like terms on the right side.


-10y=-12y%2B16-15 Subtract 15 from both sides.


-10y%2B12y=16-15 Add 12y to both sides.


2y=16-15 Combine like terms on the left side.


2y=1 Combine like terms on the right side.


y=%281%29%2F%282%29 Divide both sides by 2 to isolate y.


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Answer:

So the solution is y=1%2F2


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