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Simplifying 2y + 1 = 9 + -6y Reorder the terms: 1 + 2y = 9 + -6y Solving 1 + 2y = 9 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 1 + 2y + 6y = 9 + -6y + 6y Combine like terms: 2y + 6y = 8y 1 + 8y = 9 + -6y + 6y Combine like terms: -6y + 6y = 0 1 + 8y = 9 + 0 1 + 8y = 9 Add '-1' to each side of the equation. 1 + -1 + 8y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 9 + -1 8y = 9 + -1 Combine like terms: 9 + -1 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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