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Simplifying 3(y + 10) + 5y = -34 Reorder the terms: 3(10 + y) + 5y = -34 (10 * 3 + y * 3) + 5y = -34 (30 + 3y) + 5y = -34 Combine like terms: 3y + 5y = 8y 30 + 8y = -34 Solving 30 + 8y = -34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 8y = -34 + -30 Combine like terms: 30 + -30 = 0 0 + 8y = -34 + -30 8y = -34 + -30 Combine like terms: -34 + -30 = -64 8y = -64 Divide each side by '8'. y = -8 Simplifying y = -8
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