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Simplifying 7(y + 6) = 2y + 17 Reorder the terms: 7(6 + y) = 2y + 17 (6 * 7 + y * 7) = 2y + 17 (42 + 7y) = 2y + 17 Reorder the terms: 42 + 7y = 17 + 2y Solving 42 + 7y = 17 + 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. 42 + 7y + -2y = 17 + 2y + -2y Combine like terms: 7y + -2y = 5y 42 + 5y = 17 + 2y + -2y Combine like terms: 2y + -2y = 0 42 + 5y = 17 + 0 42 + 5y = 17 Add '-42' to each side of the equation. 42 + -42 + 5y = 17 + -42 Combine like terms: 42 + -42 = 0 0 + 5y = 17 + -42 5y = 17 + -42 Combine like terms: 17 + -42 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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