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Simplifying 4y + -6 + y + 24 = 8 + 7y + 12 + -4y Reorder the terms: -6 + 24 + 4y + y = 8 + 7y + 12 + -4y Combine like terms: -6 + 24 = 18 18 + 4y + y = 8 + 7y + 12 + -4y Combine like terms: 4y + y = 5y 18 + 5y = 8 + 7y + 12 + -4y Reorder the terms: 18 + 5y = 8 + 12 + 7y + -4y Combine like terms: 8 + 12 = 20 18 + 5y = 20 + 7y + -4y Combine like terms: 7y + -4y = 3y 18 + 5y = 20 + 3y Solving 18 + 5y = 20 + 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. 18 + 5y + -3y = 20 + 3y + -3y Combine like terms: 5y + -3y = 2y 18 + 2y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + 2y = 20 + 0 18 + 2y = 20 Add '-18' to each side of the equation. 18 + -18 + 2y = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 20 + -18 2y = 20 + -18 Combine like terms: 20 + -18 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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