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Simplifying 0.14(y + -2) + 0.04y = 0.08y + -0.03(10) Reorder the terms: 0.14(-2 + y) + 0.04y = 0.08y + -0.03(10) (-2 * 0.14 + y * 0.14) + 0.04y = 0.08y + -0.03(10) (-0.28 + 0.14y) + 0.04y = 0.08y + -0.03(10) Combine like terms: 0.14y + 0.04y = 0.18y -0.28 + 0.18y = 0.08y + -0.03(10) Multiply -0.03 * 10 -0.28 + 0.18y = 0.08y + -0.3 Reorder the terms: -0.28 + 0.18y = -0.3 + 0.08y Solving -0.28 + 0.18y = -0.3 + 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. -0.28 + 0.18y + -0.08y = -0.3 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.28 + 0.1y = -0.3 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.28 + 0.1y = -0.3 + 0.00 -0.28 + 0.1y = -0.3 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.1y = -0.3 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.1y = -0.3 + 0.28 0.1y = -0.3 + 0.28 Combine like terms: -0.3 + 0.28 = -0.02 0.1y = -0.02 Divide each side by '0.1'. y = -0.2 Simplifying y = -0.2
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