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Simplifying 7y + 27 = 2(y + 1) Reorder the terms: 27 + 7y = 2(y + 1) Reorder the terms: 27 + 7y = 2(1 + y) 27 + 7y = (1 * 2 + y * 2) 27 + 7y = (2 + 2y) Solving 27 + 7y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 27 + 7y + -2y = 2 + 2y + -2y Combine like terms: 7y + -2y = 5y 27 + 5y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 27 + 5y = 2 + 0 27 + 5y = 2 Add '-27' to each side of the equation. 27 + -27 + 5y = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 5y = 2 + -27 5y = 2 + -27 Combine like terms: 2 + -27 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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