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Simplifying 4y + -10 + y + 27 = 6y + 20 + -4y Reorder the terms: -10 + 27 + 4y + y = 6y + 20 + -4y Combine like terms: -10 + 27 = 17 17 + 4y + y = 6y + 20 + -4y Combine like terms: 4y + y = 5y 17 + 5y = 6y + 20 + -4y Reorder the terms: 17 + 5y = 20 + 6y + -4y Combine like terms: 6y + -4y = 2y 17 + 5y = 20 + 2y Solving 17 + 5y = 20 + 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. 17 + 5y + -2y = 20 + 2y + -2y Combine like terms: 5y + -2y = 3y 17 + 3y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 17 + 3y = 20 + 0 17 + 3y = 20 Add '-17' to each side of the equation. 17 + -17 + 3y = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = 20 + -17 3y = 20 + -17 Combine like terms: 20 + -17 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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