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Simplifying 0.18(y + -6) + 0.08y = 0.20y + -0.05(30) Reorder the terms: 0.18(-6 + y) + 0.08y = 0.20y + -0.05(30) (-6 * 0.18 + y * 0.18) + 0.08y = 0.20y + -0.05(30) (-1.08 + 0.18y) + 0.08y = 0.20y + -0.05(30) Combine like terms: 0.18y + 0.08y = 0.26y -1.08 + 0.26y = 0.20y + -0.05(30) Multiply -0.05 * 30 -1.08 + 0.26y = 0.20y + -1.5 Reorder the terms: -1.08 + 0.26y = -1.5 + 0.20y Solving -1.08 + 0.26y = -1.5 + 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. -1.08 + 0.26y + -0.20y = -1.5 + 0.20y + -0.20y Combine like terms: 0.26y + -0.20y = 0.06y -1.08 + 0.06y = -1.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.08 + 0.06y = -1.5 + 0.00 -1.08 + 0.06y = -1.5 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.06y = -1.5 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.06y = -1.5 + 1.08 0.06y = -1.5 + 1.08 Combine like terms: -1.5 + 1.08 = -0.42 0.06y = -0.42 Divide each side by '0.06'. y = -7 Simplifying y = -7
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