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Simplifying 8 = 7 + -1(y + 1) + 2y Reorder the terms: 8 = 7 + -1(1 + y) + 2y 8 = 7 + (1 * -1 + y * -1) + 2y 8 = 7 + (-1 + -1y) + 2y Combine like terms: 7 + -1 = 6 8 = 6 + -1y + 2y Combine like terms: -1y + 2y = 1y 8 = 6 + 1y Solving 8 = 6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 8 + -1y = 6 + 1y + -1y Combine like terms: 1y + -1y = 0 8 + -1y = 6 + 0 8 + -1y = 6 Add '-8' to each side of the equation. 8 + -8 + -1y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 6 + -8 -1y = 6 + -8 Combine like terms: 6 + -8 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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