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Simplifying 8(y + 7) = 6 + 7y Reorder the terms: 8(7 + y) = 6 + 7y (7 * 8 + y * 8) = 6 + 7y (56 + 8y) = 6 + 7y Solving 56 + 8y = 6 + 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. 56 + 8y + -7y = 6 + 7y + -7y Combine like terms: 8y + -7y = 1y 56 + 1y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 56 + 1y = 6 + 0 56 + 1y = 6 Add '-56' to each side of the equation. 56 + -56 + 1y = 6 + -56 Combine like terms: 56 + -56 = 0 0 + 1y = 6 + -56 1y = 6 + -56 Combine like terms: 6 + -56 = -50 1y = -50 Divide each side by '1'. y = -50 Simplifying y = -50
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