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Simplifying 0.03(2y + -1) + 0.167(8y + 5) = 0 Reorder the terms: 0.03(-1 + 2y) + 0.167(8y + 5) = 0 (-1 * 0.03 + 2y * 0.03) + 0.167(8y + 5) = 0 (-0.03 + 0.06y) + 0.167(8y + 5) = 0 Reorder the terms: -0.03 + 0.06y + 0.167(5 + 8y) = 0 -0.03 + 0.06y + (5 * 0.167 + 8y * 0.167) = 0 -0.03 + 0.06y + (0.835 + 1.336y) = 0 Reorder the terms: -0.03 + 0.835 + 0.06y + 1.336y = 0 Combine like terms: -0.03 + 0.835 = 0.805 0.805 + 0.06y + 1.336y = 0 Combine like terms: 0.06y + 1.336y = 1.396y 0.805 + 1.396y = 0 Solving 0.805 + 1.396y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.805' to each side of the equation. 0.805 + -0.805 + 1.396y = 0 + -0.805 Combine like terms: 0.805 + -0.805 = 0.000 0.000 + 1.396y = 0 + -0.805 1.396y = 0 + -0.805 Combine like terms: 0 + -0.805 = -0.805 1.396y = -0.805 Divide each side by '1.396'. y = -0.5766475645 Simplifying y = -0.5766475645
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