SOLUTION: I need help finding the answer to this equation: 5/3(y+2)=1/2-y This is a review question is my college math class 153 and I haven't taken a math class in over a year and a h

Question 93834This question is from textbook Functions Modeling Change
: I need help finding the answer to this equation:
5/3(y+2)=1/2-y
This is a review question is my college math class 153 and I haven't taken a math class in over a year and a half and I'm lost. In the back of the book it says the answer is -17/16 but I've done the problem over 10 times and searched and could not find how they got -17/16 for the answer.
Please help! This question is from textbook Functions Modeling Change

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
5/3(Y+2)=1/2-Y MULTIPLY THE LEFT HAND TERMS & FIND A COMMON DENOMINATOR FOR THE RIGHT HAND TERMS. THUS:
(5Y+10)/3=(1-2Y)/2 CROSS MULTIPLY:
2(5Y+10)=3(1-2Y)
10Y+20=3-6Y
10Y+6Y=3-20
16Y=-17 NOW DIVIDE BOTH SIDES BY 16.
Y=-17/16 ANSWER.

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