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Simplifying 0.20(y + -7) + 0.08y = 0.18y + -0.6 Reorder the terms: 0.20(-7 + y) + 0.08y = 0.18y + -0.6 (-7 * 0.20 + y * 0.20) + 0.08y = 0.18y + -0.6 (-1.4 + 0.20y) + 0.08y = 0.18y + -0.6 Combine like terms: 0.20y + 0.08y = 0.28y -1.4 + 0.28y = 0.18y + -0.6 Reorder the terms: -1.4 + 0.28y = -0.6 + 0.18y Solving -1.4 + 0.28y = -0.6 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1.4 + 0.28y + -0.18y = -0.6 + 0.18y + -0.18y Combine like terms: 0.28y + -0.18y = 0.1y -1.4 + 0.1y = -0.6 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.4 + 0.1y = -0.6 + 0.00 -1.4 + 0.1y = -0.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.1y = -0.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.1y = -0.6 + 1.4 0.1y = -0.6 + 1.4 Combine like terms: -0.6 + 1.4 = 0.8 0.1y = 0.8 Divide each side by '0.1'. y = 8 Simplifying y = 8
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