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Simplifying 7(y + 7) + y = 3(y + 5) + 7 Reorder the terms: 7(7 + y) + y = 3(y + 5) + 7 (7 * 7 + y * 7) + y = 3(y + 5) + 7 (49 + 7y) + y = 3(y + 5) + 7 Combine like terms: 7y + y = 8y 49 + 8y = 3(y + 5) + 7 Reorder the terms: 49 + 8y = 3(5 + y) + 7 49 + 8y = (5 * 3 + y * 3) + 7 49 + 8y = (15 + 3y) + 7 Reorder the terms: 49 + 8y = 15 + 7 + 3y Combine like terms: 15 + 7 = 22 49 + 8y = 22 + 3y Solving 49 + 8y = 22 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 49 + 8y + -3y = 22 + 3y + -3y Combine like terms: 8y + -3y = 5y 49 + 5y = 22 + 3y + -3y Combine like terms: 3y + -3y = 0 49 + 5y = 22 + 0 49 + 5y = 22 Add '-49' to each side of the equation. 49 + -49 + 5y = 22 + -49 Combine like terms: 49 + -49 = 0 0 + 5y = 22 + -49 5y = 22 + -49 Combine like terms: 22 + -49 = -27 5y = -27 Divide each side by '5'. y = -5.4 Simplifying y = -5.4
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