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Simplifying 34 = -8y + 6(y + 8) Reorder the terms: 34 = -8y + 6(8 + y) 34 = -8y + (8 * 6 + y * 6) 34 = -8y + (48 + 6y) Reorder the terms: 34 = 48 + -8y + 6y Combine like terms: -8y + 6y = -2y 34 = 48 + -2y Solving 34 = 48 + -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 = 48 + -2y + 2y Combine like terms: -2y + 2y = 0 34 + 2y = 48 + 0 34 + 2y = 48 Add '-34' to each side of the equation. 34 + -34 + 2y = 48 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 48 + -34 2y = 48 + -34 Combine like terms: 48 + -34 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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