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Simplifying 6 + 4(2y + -5) = 82 Reorder the terms: 6 + 4(-5 + 2y) = 82 6 + (-5 * 4 + 2y * 4) = 82 6 + (-20 + 8y) = 82 Combine like terms: 6 + -20 = -14 -14 + 8y = 82 Solving -14 + 8y = 82 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8y = 82 + 14 Combine like terms: -14 + 14 = 0 0 + 8y = 82 + 14 8y = 82 + 14 Combine like terms: 82 + 14 = 96 8y = 96 Divide each side by '8'. y = 12 Simplifying y = 12
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