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Simplifying -1(0.2 + 0.2y + 0.2z) + 2y + -5z = -16 (0.2 * -1 + 0.2y * -1 + 0.2z * -1) + 2y + -5z = -16 (-0.2 + -0.2y + -0.2z) + 2y + -5z = -16 Reorder the terms: -0.2 + -0.2y + 2y + -0.2z + -5z = -16 Combine like terms: -0.2y + 2y = 1.8y -0.2 + 1.8y + -0.2z + -5z = -16 Combine like terms: -0.2z + -5z = -5.2z -0.2 + 1.8y + -5.2z = -16 Solving -0.2 + 1.8y + -5.2z = -16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 1.8y + 0.2 + -5.2z = -16 + 0.2 Reorder the terms: -0.2 + 0.2 + 1.8y + -5.2z = -16 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 1.8y + -5.2z = -16 + 0.2 1.8y + -5.2z = -16 + 0.2 Combine like terms: -16 + 0.2 = -15.8 1.8y + -5.2z = -15.8 Add '5.2z' to each side of the equation. 1.8y + -5.2z + 5.2z = -15.8 + 5.2z Combine like terms: -5.2z + 5.2z = 0.0 1.8y + 0.0 = -15.8 + 5.2z 1.8y = -15.8 + 5.2z Divide each side by '1.8'. y = -8.777777778 + 2.888888889z Simplifying y = -8.777777778 + 2.888888889z
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