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Simplifying 0.12(y + -9) + 0.06y = 0.08y + -0.03(50) Reorder the terms: 0.12(-9 + y) + 0.06y = 0.08y + -0.03(50) (-9 * 0.12 + y * 0.12) + 0.06y = 0.08y + -0.03(50) (-1.08 + 0.12y) + 0.06y = 0.08y + -0.03(50) Combine like terms: 0.12y + 0.06y = 0.18y -1.08 + 0.18y = 0.08y + -0.03(50) Multiply -0.03 * 50 -1.08 + 0.18y = 0.08y + -1.5 Reorder the terms: -1.08 + 0.18y = -1.5 + 0.08y Solving -1.08 + 0.18y = -1.5 + 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. -1.08 + 0.18y + -0.08y = -1.5 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -1.08 + 0.1y = -1.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.08 + 0.1y = -1.5 + 0.00 -1.08 + 0.1y = -1.5 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.1y = -1.5 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.1y = -1.5 + 1.08 0.1y = -1.5 + 1.08 Combine like terms: -1.5 + 1.08 = -0.42 0.1y = -0.42 Divide each side by '0.1'. y = -4.2 Simplifying y = -4.2
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