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Simplifying 0.12(y + -6) + 0.06y = 0.08y + -0.09(10) Reorder the terms: 0.12(-6 + y) + 0.06y = 0.08y + -0.09(10) (-6 * 0.12 + y * 0.12) + 0.06y = 0.08y + -0.09(10) (-0.72 + 0.12y) + 0.06y = 0.08y + -0.09(10) Combine like terms: 0.12y + 0.06y = 0.18y -0.72 + 0.18y = 0.08y + -0.09(10) Multiply -0.09 * 10 -0.72 + 0.18y = 0.08y + -0.9 Reorder the terms: -0.72 + 0.18y = -0.9 + 0.08y Solving -0.72 + 0.18y = -0.9 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.72 + 0.18y + -0.08y = -0.9 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.72 + 0.1y = -0.9 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.72 + 0.1y = -0.9 + 0.00 -0.72 + 0.1y = -0.9 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.1y = -0.9 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.1y = -0.9 + 0.72 0.1y = -0.9 + 0.72 Combine like terms: -0.9 + 0.72 = -0.18 0.1y = -0.18 Divide each side by '0.1'. y = -1.8 Simplifying y = -1.8
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