SOLUTION: In Algebra how do you solve this: -(2y+1)=8(y=2)-7

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Question 155530: In Algebra how do you solve this: -(2y+1)=8(y=2)-7

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-%282y%2B1%29=8%28y%2B2%29-7 Start with the given equation.


-2y-1=8y%2B16-7 Distribute.


-2y-1=8y%2B9 Combine like terms on the right side.


-2y=8y%2B9%2B1 Add 1 to both sides.


-2y-8y=9%2B1 Subtract 8y from both sides.


-10y=9%2B1 Combine like terms on the left side.


-10y=10 Combine like terms on the right side.


y=%2810%29%2F%28-10%29 Divide both sides by -10 to isolate y.


y=-1 Reduce.


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Answer:

So the answer is y=-1