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Simplifying 34 = -8y + 3(y + 8) Reorder the terms: 34 = -8y + 3(8 + y) 34 = -8y + (8 * 3 + y * 3) 34 = -8y + (24 + 3y) Reorder the terms: 34 = 24 + -8y + 3y Combine like terms: -8y + 3y = -5y 34 = 24 + -5y Solving 34 = 24 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 34 + 5y = 24 + -5y + 5y Combine like terms: -5y + 5y = 0 34 + 5y = 24 + 0 34 + 5y = 24 Add '-34' to each side of the equation. 34 + -34 + 5y = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 5y = 24 + -34 5y = 24 + -34 Combine like terms: 24 + -34 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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