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Simplifying 0.18(y + -6) + 0.12y = 0.06y + -3 Reorder the terms: 0.18(-6 + y) + 0.12y = 0.06y + -3 (-6 * 0.18 + y * 0.18) + 0.12y = 0.06y + -3 (-1.08 + 0.18y) + 0.12y = 0.06y + -3 Combine like terms: 0.18y + 0.12y = 0.3y -1.08 + 0.3y = 0.06y + -3 Reorder the terms: -1.08 + 0.3y = -3 + 0.06y Solving -1.08 + 0.3y = -3 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -1.08 + 0.3y + -0.06y = -3 + 0.06y + -0.06y Combine like terms: 0.3y + -0.06y = 0.24y -1.08 + 0.24y = -3 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.08 + 0.24y = -3 + 0.00 -1.08 + 0.24y = -3 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.24y = -3 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.24y = -3 + 1.08 0.24y = -3 + 1.08 Combine like terms: -3 + 1.08 = -1.92 0.24y = -1.92 Divide each side by '0.24'. y = -8 Simplifying y = -8
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