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Simplifying 5y + -10 + y + 32 = 6 + 5y + 24 + -1y Reorder the terms: -10 + 32 + 5y + y = 6 + 5y + 24 + -1y Combine like terms: -10 + 32 = 22 22 + 5y + y = 6 + 5y + 24 + -1y Combine like terms: 5y + y = 6y 22 + 6y = 6 + 5y + 24 + -1y Reorder the terms: 22 + 6y = 6 + 24 + 5y + -1y Combine like terms: 6 + 24 = 30 22 + 6y = 30 + 5y + -1y Combine like terms: 5y + -1y = 4y 22 + 6y = 30 + 4y Solving 22 + 6y = 30 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 22 + 6y + -4y = 30 + 4y + -4y Combine like terms: 6y + -4y = 2y 22 + 2y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 22 + 2y = 30 + 0 22 + 2y = 30 Add '-22' to each side of the equation. 22 + -22 + 2y = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 2y = 30 + -22 2y = 30 + -22 Combine like terms: 30 + -22 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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