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Simplifying 7(y + 5) + y = 3(y + 4) + 7 Reorder the terms: 7(5 + y) + y = 3(y + 4) + 7 (5 * 7 + y * 7) + y = 3(y + 4) + 7 (35 + 7y) + y = 3(y + 4) + 7 Combine like terms: 7y + y = 8y 35 + 8y = 3(y + 4) + 7 Reorder the terms: 35 + 8y = 3(4 + y) + 7 35 + 8y = (4 * 3 + y * 3) + 7 35 + 8y = (12 + 3y) + 7 Reorder the terms: 35 + 8y = 12 + 7 + 3y Combine like terms: 12 + 7 = 19 35 + 8y = 19 + 3y Solving 35 + 8y = 19 + 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. 35 + 8y + -3y = 19 + 3y + -3y Combine like terms: 8y + -3y = 5y 35 + 5y = 19 + 3y + -3y Combine like terms: 3y + -3y = 0 35 + 5y = 19 + 0 35 + 5y = 19 Add '-35' to each side of the equation. 35 + -35 + 5y = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 5y = 19 + -35 5y = 19 + -35 Combine like terms: 19 + -35 = -16 5y = -16 Divide each side by '5'. y = -3.2 Simplifying y = -3.2
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