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    Work: Find the solution of equation （y-1.181）/0.8 = （1.177-y）/0.2 .
    Question type: Equation
    Solution:Original question:

(

y

−

1181 1000

)

÷

4 5

=

(

1177 1000

−

y

)

÷

1 5

    Remove the bracket on the left of the equation:

Left side of the equation =

y

×

5 4

−

1181 1000

×

5 4

=

y

×

5 4

−

1181 800

    The equation is transformed into :

5 4

y

−

1181 800

=

(

1177 1000

−

y

)

÷

1 5

    Remove the bracket on the right of the equation:

Right side of the equation =

1177 1000

×

5

−

y

×

5

=

1177 200

−

y

×

5

    The equation is transformed into :

5 4

y

−

1181 800

=

1177 200

−

5

y

    Transposition :

5 4

y

+

5

y

=

1177 200

+

1181 800

    Combine the items on the left of the equation:

25 4

y

=

1177 200

+

1181 800

    Combine the items on the right of the equation:

25 4

y

=

5889 800

    The coefficient of the unknown number is reduced to 1 :

y

=

5889 800

÷

25 4

=

5889 800

×

4 25

=

5889 200

×

1 25

    We obtained :

y

=

5889 5000

    This is the solution of the equation.

    Convert the result to decimal form :

y

=

1.1778

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