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Simplifying 0.12(y + -2) + 0.06y = 0.10y + -0.01(10) Reorder the terms: 0.12(-2 + y) + 0.06y = 0.10y + -0.01(10) (-2 * 0.12 + y * 0.12) + 0.06y = 0.10y + -0.01(10) (-0.24 + 0.12y) + 0.06y = 0.10y + -0.01(10) Combine like terms: 0.12y + 0.06y = 0.18y -0.24 + 0.18y = 0.10y + -0.01(10) Multiply -0.01 * 10 -0.24 + 0.18y = 0.10y + -0.1 Reorder the terms: -0.24 + 0.18y = -0.1 + 0.10y Solving -0.24 + 0.18y = -0.1 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.24 + 0.18y + -0.10y = -0.1 + 0.10y + -0.10y Combine like terms: 0.18y + -0.10y = 0.08y -0.24 + 0.08y = -0.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.24 + 0.08y = -0.1 + 0.00 -0.24 + 0.08y = -0.1 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.08y = -0.1 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.08y = -0.1 + 0.24 0.08y = -0.1 + 0.24 Combine like terms: -0.1 + 0.24 = 0.14 0.08y = 0.14 Divide each side by '0.08'. y = 1.75 Simplifying y = 1.75
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