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Simplifying 0.18(y + -8) + 0.10y = 0.14y + -0.01(60) Reorder the terms: 0.18(-8 + y) + 0.10y = 0.14y + -0.01(60) (-8 * 0.18 + y * 0.18) + 0.10y = 0.14y + -0.01(60) (-1.44 + 0.18y) + 0.10y = 0.14y + -0.01(60) Combine like terms: 0.18y + 0.10y = 0.28y -1.44 + 0.28y = 0.14y + -0.01(60) Multiply -0.01 * 60 -1.44 + 0.28y = 0.14y + -0.6 Reorder the terms: -1.44 + 0.28y = -0.6 + 0.14y Solving -1.44 + 0.28y = -0.6 + 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. -1.44 + 0.28y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.28y + -0.14y = 0.14y -1.44 + 0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.44 + 0.14y = -0.6 + 0.00 -1.44 + 0.14y = -0.6 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.14y = -0.6 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.14y = -0.6 + 1.44 0.14y = -0.6 + 1.44 Combine like terms: -0.6 + 1.44 = 0.84 0.14y = 0.84 Divide each side by '0.14'. y = 6 Simplifying y = 6
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