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Simplifying 6 = 2(y + 6) + -8y Reorder the terms: 6 = 2(6 + y) + -8y 6 = (6 * 2 + y * 2) + -8y 6 = (12 + 2y) + -8y Combine like terms: 2y + -8y = -6y 6 = 12 + -6y Solving 6 = 12 + -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. 6 + 6y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 6 + 6y = 12 + 0 6 + 6y = 12 Add '-6' to each side of the equation. 6 + -6 + 6y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = 12 + -6 6y = 12 + -6 Combine like terms: 12 + -6 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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