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Simplifying 9y + -2y + 8 = 3y + 38 + y Reorder the terms: 8 + 9y + -2y = 3y + 38 + y Combine like terms: 9y + -2y = 7y 8 + 7y = 3y + 38 + y Reorder the terms: 8 + 7y = 38 + 3y + y Combine like terms: 3y + y = 4y 8 + 7y = 38 + 4y Solving 8 + 7y = 38 + 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. 8 + 7y + -4y = 38 + 4y + -4y Combine like terms: 7y + -4y = 3y 8 + 3y = 38 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 3y = 38 + 0 8 + 3y = 38 Add '-8' to each side of the equation. 8 + -8 + 3y = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 38 + -8 3y = 38 + -8 Combine like terms: 38 + -8 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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