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Simplifying 3(y + 4) + -6 = 45 Reorder the terms: 3(4 + y) + -6 = 45 (4 * 3 + y * 3) + -6 = 45 (12 + 3y) + -6 = 45 Reorder the terms: 12 + -6 + 3y = 45 Combine like terms: 12 + -6 = 6 6 + 3y = 45 Solving 6 + 3y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3y = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 45 + -6 3y = 45 + -6 Combine like terms: 45 + -6 = 39 3y = 39 Divide each side by '3'. y = 13 Simplifying y = 13
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