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Simplifying 0.20(y + -1) + 0.12y = 0.08y + -0.5 Reorder the terms: 0.20(-1 + y) + 0.12y = 0.08y + -0.5 (-1 * 0.20 + y * 0.20) + 0.12y = 0.08y + -0.5 (-0.2 + 0.20y) + 0.12y = 0.08y + -0.5 Combine like terms: 0.20y + 0.12y = 0.32y -0.2 + 0.32y = 0.08y + -0.5 Reorder the terms: -0.2 + 0.32y = -0.5 + 0.08y Solving -0.2 + 0.32y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.2 + 0.32y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.32y + -0.08y = 0.24y -0.2 + 0.24y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.2 + 0.24y = -0.5 + 0.00 -0.2 + 0.24y = -0.5 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.24y = -0.5 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.24y = -0.5 + 0.2 0.24y = -0.5 + 0.2 Combine like terms: -0.5 + 0.2 = -0.3 0.24y = -0.3 Divide each side by '0.24'. y = -1.25 Simplifying y = -1.25
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