SOLUTION: Solve for the unknown: 3(y - 17) = -5(y - 23)

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Question 121221: Solve for the unknown: 3(y - 17) = -5(y - 23)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28y-17%29=-5%28y-23%29 Start with the given equation



3y-51=-5y%2B115 Distribute


3y=-5y%2B115%2B51Add 51 to both sides


3y%2B5y=115%2B51 Add 5y to both sides


8y=115%2B51 Combine like terms on the left side


8y=166 Combine like terms on the right side


y=%28166%29%2F%288%29 Divide both sides by 8 to isolate y



y=83%2F4 Reduce

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Answer:
So our answer is y=83%2F4 (which is approximately y=20.75 in decimal form)