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Simplifying y + 7 = 1 + -1y Reorder the terms: 7 + y = 1 + -1y Solving 7 + y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 7 + y + y = 1 + -1y + y Combine like terms: y + y = 2y 7 + 2y = 1 + -1y + y Combine like terms: -1y + y = 0 7 + 2y = 1 + 0 7 + 2y = 1 Add '-7' to each side of the equation. 7 + -7 + 2y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 1 + -7 2y = 1 + -7 Combine like terms: 1 + -7 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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