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Simplifying 0.06(y + -1) + 0.12y = 0.08y + -0.09(10) Reorder the terms: 0.06(-1 + y) + 0.12y = 0.08y + -0.09(10) (-1 * 0.06 + y * 0.06) + 0.12y = 0.08y + -0.09(10) (-0.06 + 0.06y) + 0.12y = 0.08y + -0.09(10) Combine like terms: 0.06y + 0.12y = 0.18y -0.06 + 0.18y = 0.08y + -0.09(10) Multiply -0.09 * 10 -0.06 + 0.18y = 0.08y + -0.9 Reorder the terms: -0.06 + 0.18y = -0.9 + 0.08y Solving -0.06 + 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. -0.06 + 0.18y + -0.08y = -0.9 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.06 + 0.1y = -0.9 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.06 + 0.1y = -0.9 + 0.00 -0.06 + 0.1y = -0.9 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.1y = -0.9 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.1y = -0.9 + 0.06 0.1y = -0.9 + 0.06 Combine like terms: -0.9 + 0.06 = -0.84 0.1y = -0.84 Divide each side by '0.1'. y = -8.4 Simplifying y = -8.4
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