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Simplifying -1(1.5 + 0.5y + z) + 2y + -1z = 6 (1.5 * -1 + 0.5y * -1 + z * -1) + 2y + -1z = 6 (-1.5 + -0.5y + -1z) + 2y + -1z = 6 Reorder the terms: -1.5 + -0.5y + 2y + -1z + -1z = 6 Combine like terms: -0.5y + 2y = 1.5y -1.5 + 1.5y + -1z + -1z = 6 Combine like terms: -1z + -1z = -2z -1.5 + 1.5y + -2z = 6 Solving -1.5 + 1.5y + -2z = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5y + 1.5 + -2z = 6 + 1.5 Reorder the terms: -1.5 + 1.5 + 1.5y + -2z = 6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.5y + -2z = 6 + 1.5 1.5y + -2z = 6 + 1.5 Combine like terms: 6 + 1.5 = 7.5 1.5y + -2z = 7.5 Add '2z' to each side of the equation. 1.5y + -2z + 2z = 7.5 + 2z Combine like terms: -2z + 2z = 0 1.5y + 0 = 7.5 + 2z 1.5y = 7.5 + 2z Divide each side by '1.5'. y = 5 + 1.333333333z Simplifying y = 5 + 1.333333333z
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