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Simplifying 0.12(y + -1) + 0.16y = 0.20y + -0.2 Reorder the terms: 0.12(-1 + y) + 0.16y = 0.20y + -0.2 (-1 * 0.12 + y * 0.12) + 0.16y = 0.20y + -0.2 (-0.12 + 0.12y) + 0.16y = 0.20y + -0.2 Combine like terms: 0.12y + 0.16y = 0.28y -0.12 + 0.28y = 0.20y + -0.2 Reorder the terms: -0.12 + 0.28y = -0.2 + 0.20y Solving -0.12 + 0.28y = -0.2 + 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. -0.12 + 0.28y + -0.20y = -0.2 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -0.12 + 0.08y = -0.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.12 + 0.08y = -0.2 + 0.00 -0.12 + 0.08y = -0.2 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.08y = -0.2 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.08y = -0.2 + 0.12 0.08y = -0.2 + 0.12 Combine like terms: -0.2 + 0.12 = -0.08 0.08y = -0.08 Divide each side by '0.08'. y = -1 Simplifying y = -1
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