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Simplifying 8y + 2 + -6y = 2 + y + 9 Reorder the terms: 2 + 8y + -6y = 2 + y + 9 Combine like terms: 8y + -6y = 2y 2 + 2y = 2 + y + 9 Reorder the terms: 2 + 2y = 2 + 9 + y Combine like terms: 2 + 9 = 11 2 + 2y = 11 + y Solving 2 + 2y = 11 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2 + 2y + -1y = 11 + y + -1y Combine like terms: 2y + -1y = 1y 2 + 1y = 11 + y + -1y Combine like terms: y + -1y = 0 2 + 1y = 11 + 0 2 + 1y = 11 Add '-2' to each side of the equation. 2 + -2 + 1y = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 11 + -2 1y = 11 + -2 Combine like terms: 11 + -2 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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