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Simplifying 0.12(y + -9) + 0.16y = 0.18y + -0.01(60) Reorder the terms: 0.12(-9 + y) + 0.16y = 0.18y + -0.01(60) (-9 * 0.12 + y * 0.12) + 0.16y = 0.18y + -0.01(60) (-1.08 + 0.12y) + 0.16y = 0.18y + -0.01(60) Combine like terms: 0.12y + 0.16y = 0.28y -1.08 + 0.28y = 0.18y + -0.01(60) Multiply -0.01 * 60 -1.08 + 0.28y = 0.18y + -0.6 Reorder the terms: -1.08 + 0.28y = -0.6 + 0.18y Solving -1.08 + 0.28y = -0.6 + 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. -1.08 + 0.28y + -0.18y = -0.6 + 0.18y + -0.18y Combine like terms: 0.28y + -0.18y = 0.1y -1.08 + 0.1y = -0.6 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.08 + 0.1y = -0.6 + 0.00 -1.08 + 0.1y = -0.6 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.1y = -0.6 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.1y = -0.6 + 1.08 0.1y = -0.6 + 1.08 Combine like terms: -0.6 + 1.08 = 0.48 0.1y = 0.48 Divide each side by '0.1'. y = 4.8 Simplifying y = 4.8
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