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Simplifying 34 = 3(y + 3) + -8y Reorder the terms: 34 = 3(3 + y) + -8y 34 = (3 * 3 + y * 3) + -8y 34 = (9 + 3y) + -8y Combine like terms: 3y + -8y = -5y 34 = 9 + -5y Solving 34 = 9 + -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 = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 34 + 5y = 9 + 0 34 + 5y = 9 Add '-34' to each side of the equation. 34 + -34 + 5y = 9 + -34 Combine like terms: 34 + -34 = 0 0 + 5y = 9 + -34 5y = 9 + -34 Combine like terms: 9 + -34 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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