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Simplifying 3y + -1 + y + 27 = 8y + 30 + -6y Reorder the terms: -1 + 27 + 3y + y = 8y + 30 + -6y Combine like terms: -1 + 27 = 26 26 + 3y + y = 8y + 30 + -6y Combine like terms: 3y + y = 4y 26 + 4y = 8y + 30 + -6y Reorder the terms: 26 + 4y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 26 + 4y = 30 + 2y Solving 26 + 4y = 30 + 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. 26 + 4y + -2y = 30 + 2y + -2y Combine like terms: 4y + -2y = 2y 26 + 2y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 26 + 2y = 30 + 0 26 + 2y = 30 Add '-26' to each side of the equation. 26 + -26 + 2y = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 2y = 30 + -26 2y = 30 + -26 Combine like terms: 30 + -26 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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