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Simplifying 0.2(y + -9) + 0.12y = 0.08y + -0.03(40) Reorder the terms: 0.2(-9 + y) + 0.12y = 0.08y + -0.03(40) (-9 * 0.2 + y * 0.2) + 0.12y = 0.08y + -0.03(40) (-1.8 + 0.2y) + 0.12y = 0.08y + -0.03(40) Combine like terms: 0.2y + 0.12y = 0.32y -1.8 + 0.32y = 0.08y + -0.03(40) Multiply -0.03 * 40 -1.8 + 0.32y = 0.08y + -1.2 Reorder the terms: -1.8 + 0.32y = -1.2 + 0.08y Solving -1.8 + 0.32y = -1.2 + 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. -1.8 + 0.32y + -0.08y = -1.2 + 0.08y + -0.08y Combine like terms: 0.32y + -0.08y = 0.24y -1.8 + 0.24y = -1.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.8 + 0.24y = -1.2 + 0.00 -1.8 + 0.24y = -1.2 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.24y = -1.2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.24y = -1.2 + 1.8 0.24y = -1.2 + 1.8 Combine like terms: -1.2 + 1.8 = 0.6 0.24y = 0.6 Divide each side by '0.24'. y = 2.5 Simplifying y = 2.5
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