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Simplifying 0.10(y + -4) + 0.18y = 0.04y + -0.05(50) Reorder the terms: 0.10(-4 + y) + 0.18y = 0.04y + -0.05(50) (-4 * 0.10 + y * 0.10) + 0.18y = 0.04y + -0.05(50) (-0.4 + 0.10y) + 0.18y = 0.04y + -0.05(50) Combine like terms: 0.10y + 0.18y = 0.28y -0.4 + 0.28y = 0.04y + -0.05(50) Multiply -0.05 * 50 -0.4 + 0.28y = 0.04y + -2.5 Reorder the terms: -0.4 + 0.28y = -2.5 + 0.04y Solving -0.4 + 0.28y = -2.5 + 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. -0.4 + 0.28y + -0.04y = -2.5 + 0.04y + -0.04y Combine like terms: 0.28y + -0.04y = 0.24y -0.4 + 0.24y = -2.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.4 + 0.24y = -2.5 + 0.00 -0.4 + 0.24y = -2.5 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.24y = -2.5 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.24y = -2.5 + 0.4 0.24y = -2.5 + 0.4 Combine like terms: -2.5 + 0.4 = -2.1 0.24y = -2.1 Divide each side by '0.24'. y = -8.75 Simplifying y = -8.75
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