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Simplifying 0.14(y + -8) + 0.18y = 0.08y + -2.8 Reorder the terms: 0.14(-8 + y) + 0.18y = 0.08y + -2.8 (-8 * 0.14 + y * 0.14) + 0.18y = 0.08y + -2.8 (-1.12 + 0.14y) + 0.18y = 0.08y + -2.8 Combine like terms: 0.14y + 0.18y = 0.32y -1.12 + 0.32y = 0.08y + -2.8 Reorder the terms: -1.12 + 0.32y = -2.8 + 0.08y Solving -1.12 + 0.32y = -2.8 + 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. -1.12 + 0.32y + -0.08y = -2.8 + 0.08y + -0.08y Combine like terms: 0.32y + -0.08y = 0.24y -1.12 + 0.24y = -2.8 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.12 + 0.24y = -2.8 + 0.00 -1.12 + 0.24y = -2.8 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.24y = -2.8 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.24y = -2.8 + 1.12 0.24y = -2.8 + 1.12 Combine like terms: -2.8 + 1.12 = -1.68 0.24y = -1.68 Divide each side by '0.24'. y = -7 Simplifying y = -7
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