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Simplifying 0.25(y + 6) + 3 = 0.125(8y + -36) + -3 Reorder the terms: 0.25(6 + y) + 3 = 0.125(8y + -36) + -3 (6 * 0.25 + y * 0.25) + 3 = 0.125(8y + -36) + -3 (1.5 + 0.25y) + 3 = 0.125(8y + -36) + -3 Reorder the terms: 1.5 + 3 + 0.25y = 0.125(8y + -36) + -3 Combine like terms: 1.5 + 3 = 4.5 4.5 + 0.25y = 0.125(8y + -36) + -3 Reorder the terms: 4.5 + 0.25y = 0.125(-36 + 8y) + -3 4.5 + 0.25y = (-36 * 0.125 + 8y * 0.125) + -3 4.5 + 0.25y = (-4.5 + 1y) + -3 Reorder the terms: 4.5 + 0.25y = -4.5 + -3 + 1y Combine like terms: -4.5 + -3 = -7.5 4.5 + 0.25y = -7.5 + 1y Solving 4.5 + 0.25y = -7.5 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 4.5 + 0.25y + -1y = -7.5 + 1y + -1y Combine like terms: 0.25y + -1y = -0.75y 4.5 + -0.75y = -7.5 + 1y + -1y Combine like terms: 1y + -1y = 0 4.5 + -0.75y = -7.5 + 0 4.5 + -0.75y = -7.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.75y = -7.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.75y = -7.5 + -4.5 -0.75y = -7.5 + -4.5 Combine like terms: -7.5 + -4.5 = -12 -0.75y = -12 Divide each side by '-0.75'. y = 16 Simplifying y = 16
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