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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation Y = (450+0.8*(Y-400-0.2*Y))+2600+(50+0.4*Y)+1200-(100+0.3*(Y-400-0.2*Y)) .
    Question type: Equation
    Solution:Original question:
      Y = (450 +
4
5
( Y − 400 −
1
5
 Y )) + 2600 + (50 +
2
5
 Y ) + 1200 − (100 +
3
10
( Y − 400 −
1
5
 Y ))
     Right side of the equation = (450 +
4
5
( Y − 400 −
1
5
 Y )) + 3800 + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
    The equation is transformed into :
      Y = (450 +
4
5
( Y − 400 −
1
5
 Y )) + 3800 + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
    Remove the bracket on the right of the equation:
     Right side of the equation = 450 +
4
5
( Y − 400 −
1
5
 Y ) + 3800 + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 4250 +
4
5
( Y − 400 −
1
5
 Y ) + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 4250 +
4
5
 Y −
4
5
 × 400 −
4
5
 ×
1
5
 Y + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 4250 +
4
5
 Y − 320 −
4
25
 Y + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 3930 +
16
25
 Y + (50 +
2
5
 Y ) − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 3930 +
16
25
 Y + 50 +
2
5
 Y − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 3980 +
26
25
 Y − (100 +
3
10
( Y − 400 −
1
5
 Y ))
                                               = 3980 +
26
25
 Y − 100 −
3
10
( Y − 400 −
1
5
 Y )
                                               = 3880 +
26
25
 Y −
3
10
( Y − 400 −
1
5
 Y )
                                               = 3880 +
26
25
 Y −
3
10
 Y +
3
10
 × 400 +
3
10
 ×
1
5
 Y
                                               = 3880 +
26
25
 Y −
3
10
 Y + 120 +
3
50
 Y
                                               = 4000 +
4
5
 Y
    The equation is transformed into :
      Y = 4000 +
4
5
 Y

    Transposition :
      Y −
4
5
 Y = 4000

    Combine the items on the left of the equation:
     
1
5
 Y = 4000

    The coefficient of the unknown number is reduced to 1 :
      Y = 4000 ÷
1
5
        = 4000 × 5

    We obtained :
      Y = 20000
    This is the solution of the equation.



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