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Simplifying 3y + -8 + y + 38 = 6y + 30 + -4y Reorder the terms: -8 + 38 + 3y + y = 6y + 30 + -4y Combine like terms: -8 + 38 = 30 30 + 3y + y = 6y + 30 + -4y Combine like terms: 3y + y = 4y 30 + 4y = 6y + 30 + -4y Reorder the terms: 30 + 4y = 30 + 6y + -4y Combine like terms: 6y + -4y = 2y 30 + 4y = 30 + 2y Add '-30' to each side of the equation. 30 + -30 + 4y = 30 + -30 + 2y Combine like terms: 30 + -30 = 0 0 + 4y = 30 + -30 + 2y 4y = 30 + -30 + 2y Combine like terms: 30 + -30 = 0 4y = 0 + 2y 4y = 2y Solving 4y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4y + -2y = 2y + -2y Combine like terms: 4y + -2y = 2y 2y = 2y + -2y Combine like terms: 2y + -2y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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