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Simplifying 0.18(y + -6) + 0.20y = 0.14y + -0.9 Reorder the terms: 0.18(-6 + y) + 0.20y = 0.14y + -0.9 (-6 * 0.18 + y * 0.18) + 0.20y = 0.14y + -0.9 (-1.08 + 0.18y) + 0.20y = 0.14y + -0.9 Combine like terms: 0.18y + 0.20y = 0.38y -1.08 + 0.38y = 0.14y + -0.9 Reorder the terms: -1.08 + 0.38y = -0.9 + 0.14y Solving -1.08 + 0.38y = -0.9 + 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. -1.08 + 0.38y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.38y + -0.14y = 0.24y -1.08 + 0.24y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.08 + 0.24y = -0.9 + 0.00 -1.08 + 0.24y = -0.9 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.24y = -0.9 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.24y = -0.9 + 1.08 0.24y = -0.9 + 1.08 Combine like terms: -0.9 + 1.08 = 0.18 0.24y = 0.18 Divide each side by '0.24'. y = 0.75 Simplifying y = 0.75
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