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Simplifying 0.14(y + -9) + 0.04y = 0.10y + -0.03(40) Reorder the terms: 0.14(-9 + y) + 0.04y = 0.10y + -0.03(40) (-9 * 0.14 + y * 0.14) + 0.04y = 0.10y + -0.03(40) (-1.26 + 0.14y) + 0.04y = 0.10y + -0.03(40) Combine like terms: 0.14y + 0.04y = 0.18y -1.26 + 0.18y = 0.10y + -0.03(40) Multiply -0.03 * 40 -1.26 + 0.18y = 0.10y + -1.2 Reorder the terms: -1.26 + 0.18y = -1.2 + 0.10y Solving -1.26 + 0.18y = -1.2 + 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. -1.26 + 0.18y + -0.10y = -1.2 + 0.10y + -0.10y Combine like terms: 0.18y + -0.10y = 0.08y -1.26 + 0.08y = -1.2 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.26 + 0.08y = -1.2 + 0.00 -1.26 + 0.08y = -1.2 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.08y = -1.2 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.08y = -1.2 + 1.26 0.08y = -1.2 + 1.26 Combine like terms: -1.2 + 1.26 = 0.06 0.08y = 0.06 Divide each side by '0.08'. y = 0.75 Simplifying y = 0.75
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