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Simplifying 0.18(y + -9) + 0.06y = 0.20y + -2 Reorder the terms: 0.18(-9 + y) + 0.06y = 0.20y + -2 (-9 * 0.18 + y * 0.18) + 0.06y = 0.20y + -2 (-1.62 + 0.18y) + 0.06y = 0.20y + -2 Combine like terms: 0.18y + 0.06y = 0.24y -1.62 + 0.24y = 0.20y + -2 Reorder the terms: -1.62 + 0.24y = -2 + 0.20y Solving -1.62 + 0.24y = -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. -1.62 + 0.24y + -0.20y = -2 + 0.20y + -0.20y Combine like terms: 0.24y + -0.20y = 0.04y -1.62 + 0.04y = -2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.62 + 0.04y = -2 + 0.00 -1.62 + 0.04y = -2 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.04y = -2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.04y = -2 + 1.62 0.04y = -2 + 1.62 Combine like terms: -2 + 1.62 = -0.38 0.04y = -0.38 Divide each side by '0.04'. y = -9.5 Simplifying y = -9.5
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