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Simplifying 1.5y + 8 = -0.5y + 6 Reorder the terms: 8 + 1.5y = -0.5y + 6 Reorder the terms: 8 + 1.5y = 6 + -0.5y Solving 8 + 1.5y = 6 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. 8 + 1.5y + 0.5y = 6 + -0.5y + 0.5y Combine like terms: 1.5y + 0.5y = 2y 8 + 2y = 6 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 8 + 2y = 6 + 0.0 8 + 2y = 6 Add '-8' to each side of the equation. 8 + -8 + 2y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 6 + -8 2y = 6 + -8 Combine like terms: 6 + -8 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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