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Simplifying 5(y + 4) + y = 2(y + 5) + 6 Reorder the terms: 5(4 + y) + y = 2(y + 5) + 6 (4 * 5 + y * 5) + y = 2(y + 5) + 6 (20 + 5y) + y = 2(y + 5) + 6 Combine like terms: 5y + y = 6y 20 + 6y = 2(y + 5) + 6 Reorder the terms: 20 + 6y = 2(5 + y) + 6 20 + 6y = (5 * 2 + y * 2) + 6 20 + 6y = (10 + 2y) + 6 Reorder the terms: 20 + 6y = 10 + 6 + 2y Combine like terms: 10 + 6 = 16 20 + 6y = 16 + 2y Solving 20 + 6y = 16 + 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. 20 + 6y + -2y = 16 + 2y + -2y Combine like terms: 6y + -2y = 4y 20 + 4y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 20 + 4y = 16 + 0 20 + 4y = 16 Add '-20' to each side of the equation. 20 + -20 + 4y = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = 16 + -20 4y = 16 + -20 Combine like terms: 16 + -20 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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