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Simplifying 3(y + 2) = -2y + -34 Reorder the terms: 3(2 + y) = -2y + -34 (2 * 3 + y * 3) = -2y + -34 (6 + 3y) = -2y + -34 Reorder the terms: 6 + 3y = -34 + -2y Solving 6 + 3y = -34 + -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. 6 + 3y + 2y = -34 + -2y + 2y Combine like terms: 3y + 2y = 5y 6 + 5y = -34 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 5y = -34 + 0 6 + 5y = -34 Add '-6' to each side of the equation. 6 + -6 + 5y = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = -34 + -6 5y = -34 + -6 Combine like terms: -34 + -6 = -40 5y = -40 Divide each side by '5'. y = -8 Simplifying y = -8
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