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Simplifying 6(y + -4) = 5[17 + -3(2y + -13)] Reorder the terms: 6(-4 + y) = 5[17 + -3(2y + -13)] (-4 * 6 + y * 6) = 5[17 + -3(2y + -13)] (-24 + 6y) = 5[17 + -3(2y + -13)] Reorder the terms: -24 + 6y = 5[17 + -3(-13 + 2y)] -24 + 6y = 5[17 + (-13 * -3 + 2y * -3)] -24 + 6y = 5[17 + (39 + -6y)] Combine like terms: 17 + 39 = 56 -24 + 6y = 5[56 + -6y] -24 + 6y = [56 * 5 + -6y * 5] -24 + 6y = [280 + -30y] Solving -24 + 6y = 280 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. -24 + 6y + 30y = 280 + -30y + 30y Combine like terms: 6y + 30y = 36y -24 + 36y = 280 + -30y + 30y Combine like terms: -30y + 30y = 0 -24 + 36y = 280 + 0 -24 + 36y = 280 Add '24' to each side of the equation. -24 + 24 + 36y = 280 + 24 Combine like terms: -24 + 24 = 0 0 + 36y = 280 + 24 36y = 280 + 24 Combine like terms: 280 + 24 = 304 36y = 304 Divide each side by '36'. y = 8.444444444 Simplifying y = 8.444444444
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