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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 (3y-2)/2020-3 = 2020(3y-2)-(-4080396) .
    Question type: Equation
    Solution:Original question:
     (3 y − 2) ÷ 2020 − 3 = 2020(3 y − 2) − ( - 4080396)
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 y ×
1
2020
 − 2 ×
1
2020
 − 3
                                             =
3
2020
 y −
1
1010
 − 3
                                             =
3
2020
 y −
3031
1010
    The equation is transformed into :
     
3
2020
 y −
3031
1010
 = 2020(3 y − 2) − ( - 4080396)
    Remove the bracket on the right of the equation:
     Right side of the equation = 2020 × 3 y − 2020 × 2 − ( - 4080396)
                                               = 6060 y − 4040 − ( - 4080396)
                                               = 6060 y − 4040 + 4080396
                                               = 6060 y + 4076356
    The equation is transformed into :
     
3
2020
 y −
3031
1010
 = 6060 y + 4076356

    Transposition :
     
3
2020
 y − 6060 y = 4076356 +
3031
1010

    Combine the items on the left of the equation:
      -
12241197
2020
 y = 4076356 +
3031
1010

    Combine the items on the right of the equation:
      -
12241197
2020
 y =
4117122591
1010

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
4117122591
1010
 =
12241197
2020
 y

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
12241197
2020
 y = -
4117122591
1010

    The coefficient of the unknown number is reduced to 1 :
      y = -
4117122591
1010
 ÷
12241197
2020
        = -
4117122591
1010
 ×
2020
12241197
        = -
679057
101
 ×
202
2019

    We obtained :
      y = -
137169514
203919
    This is the solution of the equation.

    By reducing fraction, we can get:
      y = -
1358114
2019

    Convert the result to decimal form :
      y = - 672.666667



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