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Simplifying 7(y + 8) + y = 3(y + 3) + 7 Reorder the terms: 7(8 + y) + y = 3(y + 3) + 7 (8 * 7 + y * 7) + y = 3(y + 3) + 7 (56 + 7y) + y = 3(y + 3) + 7 Combine like terms: 7y + y = 8y 56 + 8y = 3(y + 3) + 7 Reorder the terms: 56 + 8y = 3(3 + y) + 7 56 + 8y = (3 * 3 + y * 3) + 7 56 + 8y = (9 + 3y) + 7 Reorder the terms: 56 + 8y = 9 + 7 + 3y Combine like terms: 9 + 7 = 16 56 + 8y = 16 + 3y Solving 56 + 8y = 16 + 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. 56 + 8y + -3y = 16 + 3y + -3y Combine like terms: 8y + -3y = 5y 56 + 5y = 16 + 3y + -3y Combine like terms: 3y + -3y = 0 56 + 5y = 16 + 0 56 + 5y = 16 Add '-56' to each side of the equation. 56 + -56 + 5y = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 5y = 16 + -56 5y = 16 + -56 Combine like terms: 16 + -56 = -40 5y = -40 Divide each side by '5'. y = -8 Simplifying y = -8
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