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Simplifying 0.12(y + -2) + 0.18y = 0.02y + -0.1 Reorder the terms: 0.12(-2 + y) + 0.18y = 0.02y + -0.1 (-2 * 0.12 + y * 0.12) + 0.18y = 0.02y + -0.1 (-0.24 + 0.12y) + 0.18y = 0.02y + -0.1 Combine like terms: 0.12y + 0.18y = 0.3y -0.24 + 0.3y = 0.02y + -0.1 Reorder the terms: -0.24 + 0.3y = -0.1 + 0.02y Solving -0.24 + 0.3y = -0.1 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.24 + 0.3y + -0.02y = -0.1 + 0.02y + -0.02y Combine like terms: 0.3y + -0.02y = 0.28y -0.24 + 0.28y = -0.1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.24 + 0.28y = -0.1 + 0.00 -0.24 + 0.28y = -0.1 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.28y = -0.1 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.28y = -0.1 + 0.24 0.28y = -0.1 + 0.24 Combine like terms: -0.1 + 0.24 = 0.14 0.28y = 0.14 Divide each side by '0.28'. y = 0.5 Simplifying y = 0.5
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