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Simplifying 5y + -2 + y + 32 = 8y + 30 + -4y Reorder the terms: -2 + 32 + 5y + y = 8y + 30 + -4y Combine like terms: -2 + 32 = 30 30 + 5y + y = 8y + 30 + -4y Combine like terms: 5y + y = 6y 30 + 6y = 8y + 30 + -4y Reorder the terms: 30 + 6y = 30 + 8y + -4y Combine like terms: 8y + -4y = 4y 30 + 6y = 30 + 4y Add '-30' to each side of the equation. 30 + -30 + 6y = 30 + -30 + 4y Combine like terms: 30 + -30 = 0 0 + 6y = 30 + -30 + 4y 6y = 30 + -30 + 4y Combine like terms: 30 + -30 = 0 6y = 0 + 4y 6y = 4y Solving 6y = 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. 6y + -4y = 4y + -4y Combine like terms: 6y + -4y = 2y 2y = 4y + -4y Combine like terms: 4y + -4y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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