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Simplifying 4y + -10 + y + 38 = 7y + 30 + -4y Reorder the terms: -10 + 38 + 4y + y = 7y + 30 + -4y Combine like terms: -10 + 38 = 28 28 + 4y + y = 7y + 30 + -4y Combine like terms: 4y + y = 5y 28 + 5y = 7y + 30 + -4y Reorder the terms: 28 + 5y = 30 + 7y + -4y Combine like terms: 7y + -4y = 3y 28 + 5y = 30 + 3y Solving 28 + 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. 28 + 5y + -3y = 30 + 3y + -3y Combine like terms: 5y + -3y = 2y 28 + 2y = 30 + 3y + -3y Combine like terms: 3y + -3y = 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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