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Simplifying 8(1 + y) = 7(2 + y) (1 * 8 + y * 8) = 7(2 + y) (8 + 8y) = 7(2 + y) 8 + 8y = (2 * 7 + y * 7) 8 + 8y = (14 + 7y) Solving 8 + 8y = 14 + 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. 8 + 8y + -7y = 14 + 7y + -7y Combine like terms: 8y + -7y = 1y 8 + 1y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + 1y = 14 + 0 8 + 1y = 14 Add '-8' to each side of the equation. 8 + -8 + 1y = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 14 + -8 1y = 14 + -8 Combine like terms: 14 + -8 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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