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Simplifying 4y + -7 + y + 27 = 8y + 20 + -5y Reorder the terms: -7 + 27 + 4y + y = 8y + 20 + -5y Combine like terms: -7 + 27 = 20 20 + 4y + y = 8y + 20 + -5y Combine like terms: 4y + y = 5y 20 + 5y = 8y + 20 + -5y Reorder the terms: 20 + 5y = 20 + 8y + -5y Combine like terms: 8y + -5y = 3y 20 + 5y = 20 + 3y Add '-20' to each side of the equation. 20 + -20 + 5y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 0 + 5y = 20 + -20 + 3y 5y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 5y = 0 + 3y 5y = 3y Solving 5y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 5y + -3y = 3y + -3y Combine like terms: 5y + -3y = 2y 2y = 3y + -3y Combine like terms: 3y + -3y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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