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Simplifying 0.06(y + -6) + 0.18y = 0.10y + -0.03(40) Reorder the terms: 0.06(-6 + y) + 0.18y = 0.10y + -0.03(40) (-6 * 0.06 + y * 0.06) + 0.18y = 0.10y + -0.03(40) (-0.36 + 0.06y) + 0.18y = 0.10y + -0.03(40) Combine like terms: 0.06y + 0.18y = 0.24y -0.36 + 0.24y = 0.10y + -0.03(40) Multiply -0.03 * 40 -0.36 + 0.24y = 0.10y + -1.2 Reorder the terms: -0.36 + 0.24y = -1.2 + 0.10y Solving -0.36 + 0.24y = -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. -0.36 + 0.24y + -0.10y = -1.2 + 0.10y + -0.10y Combine like terms: 0.24y + -0.10y = 0.14y -0.36 + 0.14y = -1.2 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.36 + 0.14y = -1.2 + 0.00 -0.36 + 0.14y = -1.2 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.14y = -1.2 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.14y = -1.2 + 0.36 0.14y = -1.2 + 0.36 Combine like terms: -1.2 + 0.36 = -0.84 0.14y = -0.84 Divide each side by '0.14'. y = -6 Simplifying y = -6
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