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Simplifying 5(y + 3) + y = 4(y + 5) + -8 Reorder the terms: 5(3 + y) + y = 4(y + 5) + -8 (3 * 5 + y * 5) + y = 4(y + 5) + -8 (15 + 5y) + y = 4(y + 5) + -8 Combine like terms: 5y + y = 6y 15 + 6y = 4(y + 5) + -8 Reorder the terms: 15 + 6y = 4(5 + y) + -8 15 + 6y = (5 * 4 + y * 4) + -8 15 + 6y = (20 + 4y) + -8 Reorder the terms: 15 + 6y = 20 + -8 + 4y Combine like terms: 20 + -8 = 12 15 + 6y = 12 + 4y Solving 15 + 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. 15 + 6y + -4y = 12 + 4y + -4y Combine like terms: 6y + -4y = 2y 15 + 2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + 2y = 12 + 0 15 + 2y = 12 Add '-15' to each side of the equation. 15 + -15 + 2y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 12 + -15 2y = 12 + -15 Combine like terms: 12 + -15 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5
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