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Simplifying 0.18(y + -5) + 0.20y = 0.14y + -1.2 Reorder the terms: 0.18(-5 + y) + 0.20y = 0.14y + -1.2 (-5 * 0.18 + y * 0.18) + 0.20y = 0.14y + -1.2 (-0.9 + 0.18y) + 0.20y = 0.14y + -1.2 Combine like terms: 0.18y + 0.20y = 0.38y -0.9 + 0.38y = 0.14y + -1.2 Reorder the terms: -0.9 + 0.38y = -1.2 + 0.14y Solving -0.9 + 0.38y = -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. -0.9 + 0.38y + -0.14y = -1.2 + 0.14y + -0.14y Combine like terms: 0.38y + -0.14y = 0.24y -0.9 + 0.24y = -1.2 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.9 + 0.24y = -1.2 + 0.00 -0.9 + 0.24y = -1.2 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.24y = -1.2 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.24y = -1.2 + 0.9 0.24y = -1.2 + 0.9 Combine like terms: -1.2 + 0.9 = -0.3 0.24y = -0.3 Divide each side by '0.24'. y = -1.25 Simplifying y = -1.25
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