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Simplifying 0.18(y + -8) + 0.10y = 0.20y + -2 Reorder the terms: 0.18(-8 + y) + 0.10y = 0.20y + -2 (-8 * 0.18 + y * 0.18) + 0.10y = 0.20y + -2 (-1.44 + 0.18y) + 0.10y = 0.20y + -2 Combine like terms: 0.18y + 0.10y = 0.28y -1.44 + 0.28y = 0.20y + -2 Reorder the terms: -1.44 + 0.28y = -2 + 0.20y Solving -1.44 + 0.28y = -2 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.44 + 0.28y + -0.20y = -2 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -1.44 + 0.08y = -2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.44 + 0.08y = -2 + 0.00 -1.44 + 0.08y = -2 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.08y = -2 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.08y = -2 + 1.44 0.08y = -2 + 1.44 Combine like terms: -2 + 1.44 = -0.56 0.08y = -0.56 Divide each side by '0.08'. y = -7 Simplifying y = -7
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