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Simplifying 3(y + 7) + y = 2(y + 5) + -5 Reorder the terms: 3(7 + y) + y = 2(y + 5) + -5 (7 * 3 + y * 3) + y = 2(y + 5) + -5 (21 + 3y) + y = 2(y + 5) + -5 Combine like terms: 3y + y = 4y 21 + 4y = 2(y + 5) + -5 Reorder the terms: 21 + 4y = 2(5 + y) + -5 21 + 4y = (5 * 2 + y * 2) + -5 21 + 4y = (10 + 2y) + -5 Reorder the terms: 21 + 4y = 10 + -5 + 2y Combine like terms: 10 + -5 = 5 21 + 4y = 5 + 2y Solving 21 + 4y = 5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 21 + 4y + -2y = 5 + 2y + -2y Combine like terms: 4y + -2y = 2y 21 + 2y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + 2y = 5 + 0 21 + 2y = 5 Add '-21' to each side of the equation. 21 + -21 + 2y = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 5 + -21 2y = 5 + -21 Combine like terms: 5 + -21 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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