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Simplifying 7(y + 4) + y = 3(y + 3) + 7 Reorder the terms: 7(4 + y) + y = 3(y + 3) + 7 (4 * 7 + y * 7) + y = 3(y + 3) + 7 (28 + 7y) + y = 3(y + 3) + 7 Combine like terms: 7y + y = 8y 28 + 8y = 3(y + 3) + 7 Reorder the terms: 28 + 8y = 3(3 + y) + 7 28 + 8y = (3 * 3 + y * 3) + 7 28 + 8y = (9 + 3y) + 7 Reorder the terms: 28 + 8y = 9 + 7 + 3y Combine like terms: 9 + 7 = 16 28 + 8y = 16 + 3y Solving 28 + 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. 28 + 8y + -3y = 16 + 3y + -3y Combine like terms: 8y + -3y = 5y 28 + 5y = 16 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + 5y = 16 + 0 28 + 5y = 16 Add '-28' to each side of the equation. 28 + -28 + 5y = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 5y = 16 + -28 5y = 16 + -28 Combine like terms: 16 + -28 = -12 5y = -12 Divide each side by '5'. y = -2.4 Simplifying y = -2.4
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