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Simplifying 0.18(y + -9) + -0.10y = 0.14y + -0.03(40) Reorder the terms: 0.18(-9 + y) + -0.10y = 0.14y + -0.03(40) (-9 * 0.18 + y * 0.18) + -0.10y = 0.14y + -0.03(40) (-1.62 + 0.18y) + -0.10y = 0.14y + -0.03(40) Combine like terms: 0.18y + -0.10y = 0.08y -1.62 + 0.08y = 0.14y + -0.03(40) Multiply -0.03 * 40 -1.62 + 0.08y = 0.14y + -1.2 Reorder the terms: -1.62 + 0.08y = -1.2 + 0.14y Solving -1.62 + 0.08y = -1.2 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -1.62 + 0.08y + -0.14y = -1.2 + 0.14y + -0.14y Combine like terms: 0.08y + -0.14y = -0.06y -1.62 + -0.06y = -1.2 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.62 + -0.06y = -1.2 + 0.00 -1.62 + -0.06y = -1.2 Add '1.62' to each side of the equation. -1.62 + 1.62 + -0.06y = -1.2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + -0.06y = -1.2 + 1.62 -0.06y = -1.2 + 1.62 Combine like terms: -1.2 + 1.62 = 0.42 -0.06y = 0.42 Divide each side by '-0.06'. y = -7 Simplifying y = -7
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