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Simplifying 4(y + 8) + -5 = 51 Reorder the terms: 4(8 + y) + -5 = 51 (8 * 4 + y * 4) + -5 = 51 (32 + 4y) + -5 = 51 Reorder the terms: 32 + -5 + 4y = 51 Combine like terms: 32 + -5 = 27 27 + 4y = 51 Solving 27 + 4y = 51 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4y = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 4y = 51 + -27 4y = 51 + -27 Combine like terms: 51 + -27 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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