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Simplifying 5y + -5 + y + 33 = 8y + 30 + -4y Reorder the terms: -5 + 33 + 5y + y = 8y + 30 + -4y Combine like terms: -5 + 33 = 28 28 + 5y + y = 8y + 30 + -4y Combine like terms: 5y + y = 6y 28 + 6y = 8y + 30 + -4y Reorder the terms: 28 + 6y = 30 + 8y + -4y Combine like terms: 8y + -4y = 4y 28 + 6y = 30 + 4y Solving 28 + 6y = 30 + 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. 28 + 6y + -4y = 30 + 4y + -4y Combine like terms: 6y + -4y = 2y 28 + 2y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 28 + 2y = 30 + 0 28 + 2y = 30 Add '-28' to each side of the equation. 28 + -28 + 2y = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 30 + -28 2y = 30 + -28 Combine like terms: 30 + -28 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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