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Simplifying 0.25(9y + -1) + 0.125(6y + 7) = 0 Reorder the terms: 0.25(-1 + 9y) + 0.125(6y + 7) = 0 (-1 * 0.25 + 9y * 0.25) + 0.125(6y + 7) = 0 (-0.25 + 2.25y) + 0.125(6y + 7) = 0 Reorder the terms: -0.25 + 2.25y + 0.125(7 + 6y) = 0 -0.25 + 2.25y + (7 * 0.125 + 6y * 0.125) = 0 -0.25 + 2.25y + (0.875 + 0.75y) = 0 Reorder the terms: -0.25 + 0.875 + 2.25y + 0.75y = 0 Combine like terms: -0.25 + 0.875 = 0.625 0.625 + 2.25y + 0.75y = 0 Combine like terms: 2.25y + 0.75y = 3y 0.625 + 3y = 0 Solving 0.625 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + 3y = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 3y = 0 + -0.625 3y = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 3y = -0.625 Divide each side by '3'. y = -0.2083333333 Simplifying y = -0.2083333333
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