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Simplifying 8(5 + y) = 7(8 + y) (5 * 8 + y * 8) = 7(8 + y) (40 + 8y) = 7(8 + y) 40 + 8y = (8 * 7 + y * 7) 40 + 8y = (56 + 7y) Solving 40 + 8y = 56 + 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. 40 + 8y + -7y = 56 + 7y + -7y Combine like terms: 8y + -7y = 1y 40 + 1y = 56 + 7y + -7y Combine like terms: 7y + -7y = 0 40 + 1y = 56 + 0 40 + 1y = 56 Add '-40' to each side of the equation. 40 + -40 + 1y = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 1y = 56 + -40 1y = 56 + -40 Combine like terms: 56 + -40 = 16 1y = 16 Divide each side by '1'. y = 16 Simplifying y = 16
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