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Simplifying 1.5y + -1.5 + 0.5y + 0.5z + 1 = 0 Reorder the terms: -1.5 + 1 + 1.5y + 0.5y + 0.5z = 0 Combine like terms: -1.5 + 1 = -0.5 -0.5 + 1.5y + 0.5y + 0.5z = 0 Combine like terms: 1.5y + 0.5y = 2y -0.5 + 2y + 0.5z = 0 Solving -0.5 + 2y + 0.5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 2y + 0.5 + 0.5z = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 2y + 0.5z = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2y + 0.5z = 0 + 0.5 2y + 0.5z = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 2y + 0.5z = 0.5 Add '-0.5z' to each side of the equation. 2y + 0.5z + -0.5z = 0.5 + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 2y + 0.0 = 0.5 + -0.5z 2y = 0.5 + -0.5z Divide each side by '2'. y = 0.25 + -0.25z Simplifying y = 0.25 + -0.25z
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