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Simplifying 0.14(y + -2) + 0.10y = 0.08y + -0.03(40) Reorder the terms: 0.14(-2 + y) + 0.10y = 0.08y + -0.03(40) (-2 * 0.14 + y * 0.14) + 0.10y = 0.08y + -0.03(40) (-0.28 + 0.14y) + 0.10y = 0.08y + -0.03(40) Combine like terms: 0.14y + 0.10y = 0.24y -0.28 + 0.24y = 0.08y + -0.03(40) Multiply -0.03 * 40 -0.28 + 0.24y = 0.08y + -1.2 Reorder the terms: -0.28 + 0.24y = -1.2 + 0.08y Solving -0.28 + 0.24y = -1.2 + 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 + 0.24y + -0.08y = -1.2 + 0.08y + -0.08y Combine like terms: 0.24y + -0.08y = 0.16y -0.28 + 0.16y = -1.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.28 + 0.16y = -1.2 + 0.00 -0.28 + 0.16y = -1.2 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.16y = -1.2 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.16y = -1.2 + 0.28 0.16y = -1.2 + 0.28 Combine like terms: -1.2 + 0.28 = -0.92 0.16y = -0.92 Divide each side by '0.16'. y = -5.75 Simplifying y = -5.75
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