14(2.028571429+-0.1428571429Y+-0.7857142857Z)+2Y+11Z=28.4

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Solution for 14(2.028571429+-0.1428571429Y+-0.7857142857Z)+2Y+11Z=28.4 equation:


Simplifying
14(2.028571429 + -0.1428571429Y + -0.7857142857Z) + 2Y + 11Z = 28.4
(2.028571429 * 14 + -0.1428571429Y * 14 + -0.7857142857Z * 14) + 2Y + 11Z = 28.4
(28.40000001 + -2.000000001Y + -11Z) + 2Y + 11Z = 28.4

Reorder the terms:
28.40000001 + -2.000000001Y + 2Y + -11Z + 11Z = 28.4

Combine like terms: -2.000000001Y + 2Y = -0.000000001Y
28.40000001 + -0.000000001Y + -11Z + 11Z = 28.4

Combine like terms: -11Z + 11Z = 0
28.40000001 + -0.000000001Y + 0 = 28.4
28.40000001 + -0.000000001Y = 28.4

Solving
28.40000001 + -0.000000001Y = 28.4

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-28.40000001' to each side of the equation.
28.40000001 + -28.40000001 + -0.000000001Y = 28.4 + -28.40000001

Combine like terms: 28.40000001 + -28.40000001 = 0.00000000
0.00000000 + -0.000000001Y = 28.4 + -28.40000001
-0.000000001Y = 28.4 + -28.40000001

Combine like terms: 28.4 + -28.40000001 = -0.00000001
-0.000000001Y = -0.00000001

Divide each side by '-0.000000001'.
Y = 10

Simplifying
Y = 10

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