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Simplifying 0.16(y + -8) + 0.12y = 0.08y + -1.8 Reorder the terms: 0.16(-8 + y) + 0.12y = 0.08y + -1.8 (-8 * 0.16 + y * 0.16) + 0.12y = 0.08y + -1.8 (-1.28 + 0.16y) + 0.12y = 0.08y + -1.8 Combine like terms: 0.16y + 0.12y = 0.28y -1.28 + 0.28y = 0.08y + -1.8 Reorder the terms: -1.28 + 0.28y = -1.8 + 0.08y Solving -1.28 + 0.28y = -1.8 + 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. -1.28 + 0.28y + -0.08y = -1.8 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -1.28 + 0.2y = -1.8 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.28 + 0.2y = -1.8 + 0.00 -1.28 + 0.2y = -1.8 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.2y = -1.8 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.2y = -1.8 + 1.28 0.2y = -1.8 + 1.28 Combine like terms: -1.8 + 1.28 = -0.52 0.2y = -0.52 Divide each side by '0.2'. y = -2.6 Simplifying y = -2.6
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