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Simplifying 7(y + 3) + y = 3(y + 2) + 7 Reorder the terms: 7(3 + y) + y = 3(y + 2) + 7 (3 * 7 + y * 7) + y = 3(y + 2) + 7 (21 + 7y) + y = 3(y + 2) + 7 Combine like terms: 7y + y = 8y 21 + 8y = 3(y + 2) + 7 Reorder the terms: 21 + 8y = 3(2 + y) + 7 21 + 8y = (2 * 3 + y * 3) + 7 21 + 8y = (6 + 3y) + 7 Reorder the terms: 21 + 8y = 6 + 7 + 3y Combine like terms: 6 + 7 = 13 21 + 8y = 13 + 3y Solving 21 + 8y = 13 + 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. 21 + 8y + -3y = 13 + 3y + -3y Combine like terms: 8y + -3y = 5y 21 + 5y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 21 + 5y = 13 + 0 21 + 5y = 13 Add '-21' to each side of the equation. 21 + -21 + 5y = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 13 + -21 5y = 13 + -21 Combine like terms: 13 + -21 = -8 5y = -8 Divide each side by '5'. y = -1.6 Simplifying y = -1.6
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