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Simplifying -34 = 3(y + -8) + -8y Reorder the terms: -34 = 3(-8 + y) + -8y -34 = (-8 * 3 + y * 3) + -8y -34 = (-24 + 3y) + -8y Combine like terms: 3y + -8y = -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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