SOLUTION: Please explaian how to solve this equation (summer makes things fuzzy), 3/5y-3(y+1/2)-5=1+1/2(3-2/3y). Thank you!

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Question 336212: Please explaian how to solve this equation (summer makes things fuzzy), 3/5y-3(y+1/2)-5=1+1/2(3-2/3y). Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29y-3%28y%2B1%2F2%29-5=1%2B%281%2F2%29%283-%282%2F3%29y%29 Start with the given equation.


%283%2F5%29y-3y-3%2F2-5=1%2B3%2F2-%282%2F6%29y%29 Distribute.


%283%2F5%29y-3y-3%2F2-5=1%2B3%2F2-%281%2F3%29y%29 Reduce.


Multiply EVERY term by the LCD 30 to clear any fractions.


18y-90y-45-150=30%2B45-10y Distribute and multiply.


-72y-195=30%2B45-10y Combine like terms on the left side.


-72y-195=-10y%2B75 Combine like terms on the right side.


-72y=-10y%2B75%2B195 Add 195 to both sides.


-72y%2B10y=75%2B195 Add 10y to both sides.


-62y=75%2B195 Combine like terms on the left side.


-62y=270 Combine like terms on the right side.


y=%28270%29%2F%28-62%29 Divide both sides by -62 to isolate y.


y=-135%2F31 Reduce.


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Answer:

So the solution is y=-135%2F31


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim