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Simplifying 5y + 9 + y + 23 = 8y + 20 + -4y Reorder the terms: 9 + 23 + 5y + y = 8y + 20 + -4y Combine like terms: 9 + 23 = 32 32 + 5y + y = 8y + 20 + -4y Combine like terms: 5y + y = 6y 32 + 6y = 8y + 20 + -4y Reorder the terms: 32 + 6y = 20 + 8y + -4y Combine like terms: 8y + -4y = 4y 32 + 6y = 20 + 4y Solving 32 + 6y = 20 + 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. 32 + 6y + -4y = 20 + 4y + -4y Combine like terms: 6y + -4y = 2y 32 + 2y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + 2y = 20 + 0 32 + 2y = 20 Add '-32' to each side of the equation. 32 + -32 + 2y = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 20 + -32 2y = 20 + -32 Combine like terms: 20 + -32 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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