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Simplifying 0.16(y + -8) + 0.08y = 0.18y + -1.4 Reorder the terms: 0.16(-8 + y) + 0.08y = 0.18y + -1.4 (-8 * 0.16 + y * 0.16) + 0.08y = 0.18y + -1.4 (-1.28 + 0.16y) + 0.08y = 0.18y + -1.4 Combine like terms: 0.16y + 0.08y = 0.24y -1.28 + 0.24y = 0.18y + -1.4 Reorder the terms: -1.28 + 0.24y = -1.4 + 0.18y Solving -1.28 + 0.24y = -1.4 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1.28 + 0.24y + -0.18y = -1.4 + 0.18y + -0.18y Combine like terms: 0.24y + -0.18y = 0.06y -1.28 + 0.06y = -1.4 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.28 + 0.06y = -1.4 + 0.00 -1.28 + 0.06y = -1.4 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.06y = -1.4 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.06y = -1.4 + 1.28 0.06y = -1.4 + 1.28 Combine like terms: -1.4 + 1.28 = -0.12 0.06y = -0.12 Divide each side by '0.06'. y = -2 Simplifying y = -2
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