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Simplifying 34 = 6(y + 6) + -8y Reorder the terms: 34 = 6(6 + y) + -8y 34 = (6 * 6 + y * 6) + -8y 34 = (36 + 6y) + -8y Combine like terms: 6y + -8y = -2y 34 = 36 + -2y Solving 34 = 36 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 34 + 2y = 36 + -2y + 2y Combine like terms: -2y + 2y = 0 34 + 2y = 36 + 0 34 + 2y = 36 Add '-34' to each side of the equation. 34 + -34 + 2y = 36 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 36 + -34 2y = 36 + -34 Combine like terms: 36 + -34 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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