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Simplifying -2y + 8 = -7(y + 1) Reorder the terms: 8 + -2y = -7(y + 1) Reorder the terms: 8 + -2y = -7(1 + y) 8 + -2y = (1 * -7 + y * -7) 8 + -2y = (-7 + -7y) Solving 8 + -2y = -7 + -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. 8 + -2y + 7y = -7 + -7y + 7y Combine like terms: -2y + 7y = 5y 8 + 5y = -7 + -7y + 7y Combine like terms: -7y + 7y = 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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