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Simplifying 4y + -8 + y + 32 = 7y + 30 + -4y Reorder the terms: -8 + 32 + 4y + y = 7y + 30 + -4y Combine like terms: -8 + 32 = 24 24 + 4y + y = 7y + 30 + -4y Combine like terms: 4y + y = 5y 24 + 5y = 7y + 30 + -4y Reorder the terms: 24 + 5y = 30 + 7y + -4y Combine like terms: 7y + -4y = 3y 24 + 5y = 30 + 3y Solving 24 + 5y = 30 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 24 + 5y + -3y = 30 + 3y + -3y Combine like terms: 5y + -3y = 2y 24 + 2y = 30 + 3y + -3y Combine like terms: 3y + -3y = 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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