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Simplifying 4[2 + -6(y + -12)] = 12(4y + 2) + 320 Reorder the terms: 4[2 + -6(-12 + y)] = 12(4y + 2) + 320 4[2 + (-12 * -6 + y * -6)] = 12(4y + 2) + 320 4[2 + (72 + -6y)] = 12(4y + 2) + 320 Combine like terms: 2 + 72 = 74 4[74 + -6y] = 12(4y + 2) + 320 [74 * 4 + -6y * 4] = 12(4y + 2) + 320 [296 + -24y] = 12(4y + 2) + 320 Reorder the terms: 296 + -24y = 12(2 + 4y) + 320 296 + -24y = (2 * 12 + 4y * 12) + 320 296 + -24y = (24 + 48y) + 320 Reorder the terms: 296 + -24y = 24 + 320 + 48y Combine like terms: 24 + 320 = 344 296 + -24y = 344 + 48y Solving 296 + -24y = 344 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. 296 + -24y + -48y = 344 + 48y + -48y Combine like terms: -24y + -48y = -72y 296 + -72y = 344 + 48y + -48y Combine like terms: 48y + -48y = 0 296 + -72y = 344 + 0 296 + -72y = 344 Add '-296' to each side of the equation. 296 + -296 + -72y = 344 + -296 Combine like terms: 296 + -296 = 0 0 + -72y = 344 + -296 -72y = 344 + -296 Combine like terms: 344 + -296 = 48 -72y = 48 Divide each side by '-72'. y = -0.6666666667 Simplifying y = -0.6666666667
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