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Simplifying 3y + -2 + y + 26 = 8 + 6y + 22 + -4y Reorder the terms: -2 + 26 + 3y + y = 8 + 6y + 22 + -4y Combine like terms: -2 + 26 = 24 24 + 3y + y = 8 + 6y + 22 + -4y Combine like terms: 3y + y = 4y 24 + 4y = 8 + 6y + 22 + -4y Reorder the terms: 24 + 4y = 8 + 22 + 6y + -4y Combine like terms: 8 + 22 = 30 24 + 4y = 30 + 6y + -4y Combine like terms: 6y + -4y = 2y 24 + 4y = 30 + 2y Solving 24 + 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. 24 + 4y + -2y = 30 + 2y + -2y Combine like terms: 4y + -2y = 2y 24 + 2y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 2y = 30 + 0 24 + 2y = 30 Add '-24' to each side of the equation. 24 + -24 + 2y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 30 + -24 2y = 30 + -24 Combine like terms: 30 + -24 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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