SOLUTION: solve each equation. 2/y+ 5/2 = 4 - 2/3y

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Question 932162: solve each equation.
2/y+ 5/2 = 4 - 2/3y
Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (2/y)+(5/2)=4-2/(3y) simplifies to 8/3/y-3/2=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (2/y)+(5/2)=4-2/(3y) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+2%2Fy+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+5%2F2+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F3+%29,highlight_red%28+1%2Fy+%29
It becomes .
Look at .
Moved 4 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+2%2F3%2Fy+%29,highlight_green%28+-4+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -3%2F2 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+2%2Fy+%29,highlight_red%28+2%2F3%2Fy+%29 replacing them with highlight_green%28+%282%2B2%2A1%2F3%29%2Fy+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+8+%29,highlight_red%28+1%2F3+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

from the above
we got
move 3/2 to the right

multiply with 3y on both sides


divide with 9 on both sides

16/9 = y
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

solve each equation.
2/y+ 5/2 = 4 - 2/3y


 

12 + 15y = 24y - 4 ------- Multiplying by LCD, 6y 

15y - 24y = - 4 - 12

- 9y = - 16

, or  

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