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Simplifying 4y + -7 + y + 27 = 6y + 20 + -4y Reorder the terms: -7 + 27 + 4y + y = 6y + 20 + -4y Combine like terms: -7 + 27 = 20 20 + 4y + y = 6y + 20 + -4y Combine like terms: 4y + y = 5y 20 + 5y = 6y + 20 + -4y Reorder the terms: 20 + 5y = 20 + 6y + -4y Combine like terms: 6y + -4y = 2y 20 + 5y = 20 + 2y Add '-20' to each side of the equation. 20 + -20 + 5y = 20 + -20 + 2y Combine like terms: 20 + -20 = 0 0 + 5y = 20 + -20 + 2y 5y = 20 + -20 + 2y Combine like terms: 20 + -20 = 0 5y = 0 + 2y 5y = 2y Solving 5y = 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. 5y + -2y = 2y + -2y Combine like terms: 5y + -2y = 3y 3y = 2y + -2y Combine like terms: 2y + -2y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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