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Simplifying -9 = 2(y + 8) + -7y Reorder the terms: -9 = 2(8 + y) + -7y -9 = (8 * 2 + y * 2) + -7y -9 = (16 + 2y) + -7y Combine like terms: 2y + -7y = -5y -9 = 16 + -5y Solving -9 = 16 + -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. -9 + 5y = 16 + -5y + 5y Combine like terms: -5y + 5y = 0 -9 + 5y = 16 + 0 -9 + 5y = 16 Add '9' to each side of the equation. -9 + 9 + 5y = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5y = 16 + 9 5y = 16 + 9 Combine like terms: 16 + 9 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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