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Simplifying 5y + -8 + y + 38 = 7y + 30 + -4y Reorder the terms: -8 + 38 + 5y + y = 7y + 30 + -4y Combine like terms: -8 + 38 = 30 30 + 5y + y = 7y + 30 + -4y Combine like terms: 5y + y = 6y 30 + 6y = 7y + 30 + -4y Reorder the terms: 30 + 6y = 30 + 7y + -4y Combine like terms: 7y + -4y = 3y 30 + 6y = 30 + 3y Add '-30' to each side of the equation. 30 + -30 + 6y = 30 + -30 + 3y Combine like terms: 30 + -30 = 0 0 + 6y = 30 + -30 + 3y 6y = 30 + -30 + 3y Combine like terms: 30 + -30 = 0 6y = 0 + 3y 6y = 3y Solving 6y = 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. 6y + -3y = 3y + -3y Combine like terms: 6y + -3y = 3y 3y = 3y + -3y Combine like terms: 3y + -3y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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