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Simplifying 6(y + 8) + 8 = 3(9y + -24) + -4 Reorder the terms: 6(8 + y) + 8 = 3(9y + -24) + -4 (8 * 6 + y * 6) + 8 = 3(9y + -24) + -4 (48 + 6y) + 8 = 3(9y + -24) + -4 Reorder the terms: 48 + 8 + 6y = 3(9y + -24) + -4 Combine like terms: 48 + 8 = 56 56 + 6y = 3(9y + -24) + -4 Reorder the terms: 56 + 6y = 3(-24 + 9y) + -4 56 + 6y = (-24 * 3 + 9y * 3) + -4 56 + 6y = (-72 + 27y) + -4 Reorder the terms: 56 + 6y = -72 + -4 + 27y Combine like terms: -72 + -4 = -76 56 + 6y = -76 + 27y Solving 56 + 6y = -76 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 56 + 6y + -27y = -76 + 27y + -27y Combine like terms: 6y + -27y = -21y 56 + -21y = -76 + 27y + -27y Combine like terms: 27y + -27y = 0 56 + -21y = -76 + 0 56 + -21y = -76 Add '-56' to each side of the equation. 56 + -56 + -21y = -76 + -56 Combine like terms: 56 + -56 = 0 0 + -21y = -76 + -56 -21y = -76 + -56 Combine like terms: -76 + -56 = -132 -21y = -132 Divide each side by '-21'. y = 6.285714286 Simplifying y = 6.285714286
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