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Simplifying 0.12(y + -9) + 0.16y = 0.20y + -0.07(10) Reorder the terms: 0.12(-9 + y) + 0.16y = 0.20y + -0.07(10) (-9 * 0.12 + y * 0.12) + 0.16y = 0.20y + -0.07(10) (-1.08 + 0.12y) + 0.16y = 0.20y + -0.07(10) Combine like terms: 0.12y + 0.16y = 0.28y -1.08 + 0.28y = 0.20y + -0.07(10) Multiply -0.07 * 10 -1.08 + 0.28y = 0.20y + -0.7 Reorder the terms: -1.08 + 0.28y = -0.7 + 0.20y Solving -1.08 + 0.28y = -0.7 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.08 + 0.28y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -1.08 + 0.08y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.08 + 0.08y = -0.7 + 0.00 -1.08 + 0.08y = -0.7 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.08y = -0.7 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.08y = -0.7 + 1.08 0.08y = -0.7 + 1.08 Combine like terms: -0.7 + 1.08 = 0.38 0.08y = 0.38 Divide each side by '0.08'. y = 4.75 Simplifying y = 4.75
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