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Simplifying -0.7142857143 + 0.7142857143y + 0.2857142857z = -108.6666666 + -9.722222217y + 22.05555555z Solving -0.7142857143 + 0.7142857143y + 0.2857142857z = -108.6666666 + -9.722222217y + 22.05555555z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9.722222217y' to each side of the equation. -0.7142857143 + 0.7142857143y + 9.722222217y + 0.2857142857z = -108.6666666 + -9.722222217y + 9.722222217y + 22.05555555z Combine like terms: 0.7142857143y + 9.722222217y = 10.4365079313y -0.7142857143 + 10.4365079313y + 0.2857142857z = -108.6666666 + -9.722222217y + 9.722222217y + 22.05555555z Combine like terms: -9.722222217y + 9.722222217y = 0.000000000 -0.7142857143 + 10.4365079313y + 0.2857142857z = -108.6666666 + 0.000000000 + 22.05555555z -0.7142857143 + 10.4365079313y + 0.2857142857z = -108.6666666 + 22.05555555z Add '0.7142857143' to each side of the equation. -0.7142857143 + 10.4365079313y + 0.7142857143 + 0.2857142857z = -108.6666666 + 0.7142857143 + 22.05555555z Reorder the terms: -0.7142857143 + 0.7142857143 + 10.4365079313y + 0.2857142857z = -108.6666666 + 0.7142857143 + 22.05555555z Combine like terms: -0.7142857143 + 0.7142857143 = 0.0000000000 0.0000000000 + 10.4365079313y + 0.2857142857z = -108.6666666 + 0.7142857143 + 22.05555555z 10.4365079313y + 0.2857142857z = -108.6666666 + 0.7142857143 + 22.05555555z Combine like terms: -108.6666666 + 0.7142857143 = -107.9523808857 10.4365079313y + 0.2857142857z = -107.9523808857 + 22.05555555z Add '-0.2857142857z' to each side of the equation. 10.4365079313y + 0.2857142857z + -0.2857142857z = -107.9523808857 + 22.05555555z + -0.2857142857z Combine like terms: 0.2857142857z + -0.2857142857z = 0.0000000000 10.4365079313y + 0.0000000000 = -107.9523808857 + 22.05555555z + -0.2857142857z 10.4365079313y = -107.9523808857 + 22.05555555z + -0.2857142857z Combine like terms: 22.05555555z + -0.2857142857z = 21.7698412643z 10.4365079313y = -107.9523808857 + 21.7698412643z Divide each side by '10.4365079313'. y = -10.34372623 + 2.085931559z Simplifying y = -10.34372623 + 2.085931559z
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