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Simplifying 6(8y + 4) = -31 + 7y Reorder the terms: 6(4 + 8y) = -31 + 7y (4 * 6 + 8y * 6) = -31 + 7y (24 + 48y) = -31 + 7y Solving 24 + 48y = -31 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 24 + 48y + -7y = -31 + 7y + -7y Combine like terms: 48y + -7y = 41y 24 + 41y = -31 + 7y + -7y Combine like terms: 7y + -7y = 0 24 + 41y = -31 + 0 24 + 41y = -31 Add '-24' to each side of the equation. 24 + -24 + 41y = -31 + -24 Combine like terms: 24 + -24 = 0 0 + 41y = -31 + -24 41y = -31 + -24 Combine like terms: -31 + -24 = -55 41y = -55 Divide each side by '41'. y = -1.341463415 Simplifying y = -1.341463415
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