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Simplifying 0.18(y + -4) + 0.06y = 0.10y + -0.01(30) Reorder the terms: 0.18(-4 + y) + 0.06y = 0.10y + -0.01(30) (-4 * 0.18 + y * 0.18) + 0.06y = 0.10y + -0.01(30) (-0.72 + 0.18y) + 0.06y = 0.10y + -0.01(30) Combine like terms: 0.18y + 0.06y = 0.24y -0.72 + 0.24y = 0.10y + -0.01(30) Multiply -0.01 * 30 -0.72 + 0.24y = 0.10y + -0.3 Reorder the terms: -0.72 + 0.24y = -0.3 + 0.10y Solving -0.72 + 0.24y = -0.3 + 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. -0.72 + 0.24y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.24y + -0.10y = 0.14y -0.72 + 0.14y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.72 + 0.14y = -0.3 + 0.00 -0.72 + 0.14y = -0.3 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.14y = -0.3 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.14y = -0.3 + 0.72 0.14y = -0.3 + 0.72 Combine like terms: -0.3 + 0.72 = 0.42 0.14y = 0.42 Divide each side by '0.14'. y = 3 Simplifying y = 3
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