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Simplifying 5(y + 7) + y = 4(y + 4) + -4 Reorder the terms: 5(7 + y) + y = 4(y + 4) + -4 (7 * 5 + y * 5) + y = 4(y + 4) + -4 (35 + 5y) + y = 4(y + 4) + -4 Combine like terms: 5y + y = 6y 35 + 6y = 4(y + 4) + -4 Reorder the terms: 35 + 6y = 4(4 + y) + -4 35 + 6y = (4 * 4 + y * 4) + -4 35 + 6y = (16 + 4y) + -4 Reorder the terms: 35 + 6y = 16 + -4 + 4y Combine like terms: 16 + -4 = 12 35 + 6y = 12 + 4y Solving 35 + 6y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 35 + 6y + -4y = 12 + 4y + -4y Combine like terms: 6y + -4y = 2y 35 + 2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 35 + 2y = 12 + 0 35 + 2y = 12 Add '-35' to each side of the equation. 35 + -35 + 2y = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 2y = 12 + -35 2y = 12 + -35 Combine like terms: 12 + -35 = -23 2y = -23 Divide each side by '2'. y = -11.5 Simplifying y = -11.5
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