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Simplifying 0.18(y + -9) + 0.10y = 0.04y + -1.2 Reorder the terms: 0.18(-9 + y) + 0.10y = 0.04y + -1.2 (-9 * 0.18 + y * 0.18) + 0.10y = 0.04y + -1.2 (-1.62 + 0.18y) + 0.10y = 0.04y + -1.2 Combine like terms: 0.18y + 0.10y = 0.28y -1.62 + 0.28y = 0.04y + -1.2 Reorder the terms: -1.62 + 0.28y = -1.2 + 0.04y Solving -1.62 + 0.28y = -1.2 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -1.62 + 0.28y + -0.04y = -1.2 + 0.04y + -0.04y Combine like terms: 0.28y + -0.04y = 0.24y -1.62 + 0.24y = -1.2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.62 + 0.24y = -1.2 + 0.00 -1.62 + 0.24y = -1.2 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.24y = -1.2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.24y = -1.2 + 1.62 0.24y = -1.2 + 1.62 Combine like terms: -1.2 + 1.62 = 0.42 0.24y = 0.42 Divide each side by '0.24'. y = 1.75 Simplifying y = 1.75
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