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Simplifying 8(8 + y) = 7(6 + y) (8 * 8 + y * 8) = 7(6 + y) (64 + 8y) = 7(6 + y) 64 + 8y = (6 * 7 + y * 7) 64 + 8y = (42 + 7y) Solving 64 + 8y = 42 + 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. 64 + 8y + -7y = 42 + 7y + -7y Combine like terms: 8y + -7y = 1y 64 + 1y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 64 + 1y = 42 + 0 64 + 1y = 42 Add '-64' to each side of the equation. 64 + -64 + 1y = 42 + -64 Combine like terms: 64 + -64 = 0 0 + 1y = 42 + -64 1y = 42 + -64 Combine like terms: 42 + -64 = -22 1y = -22 Divide each side by '1'. y = -22 Simplifying y = -22
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