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