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Simplifying 8 = -7(y + 1) + 2y Reorder the terms: 8 = -7(1 + y) + 2y 8 = (1 * -7 + y * -7) + 2y 8 = (-7 + -7y) + 2y Combine like terms: -7y + 2y = -5y 8 = -7 + -5y Solving 8 = -7 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 8 + 5y = -7 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 5y = -7 + 0 8 + 5y = -7 Add '-8' to each side of the equation. 8 + -8 + 5y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = -7 + -8 5y = -7 + -8 Combine like terms: -7 + -8 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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