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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 1/2022（y+1）+3 = 2y+4046+2 .
    Question type: Equation
    Solution:Original question:
     1 ÷ 2022 × ( y + 1) + 3 = 2 y + 4046 + 2
     Left side of the equation =
1
2022
( y + 1) + 3
    The equation is transformed into :
     
1
2022
( y + 1) + 3 = 2 y + 4046 + 2
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2022
 y +
1
2022
 × 1 + 3
                                             =
1
2022
 y +
1
2022
 + 3
                                             =
1
2022
 y +
6067
2022
    The equation is transformed into :
     
1
2022
 y +
6067
2022
 = 2 y + 4046 + 2
     Right side of the equation = 2 y + 4048
    The equation is transformed into :
     
1
2022
 y +
6067
2022
 = 2 y + 4048

    Transposition :
     
1
2022
 y − 2 y = 4048 −
6067
2022

    Combine the items on the left of the equation:
      -
4043
2022
 y = 4048 −
6067
2022

    Combine the items on the right of the equation:
      -
4043
2022
 y =
8178989
2022

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
8178989
2022
 =
4043
2022
 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 :
     
4043
2022
 y = -
8178989
2022

    The coefficient of the unknown number is reduced to 1 :
      y = -
8178989
2022
 ÷
4043
2022
        = -
8178989
2022
 ×
2022
4043
        = -
629153
337
 ×
337
311

    We obtained :
      y = -
212024561
104807
    This is the solution of the equation.

    By reducing fraction, we can get:
      y = - 2023



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