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Simplifying 6(8y + -3) + -8(3y + -6) = 0 Reorder the terms: 6(-3 + 8y) + -8(3y + -6) = 0 (-3 * 6 + 8y * 6) + -8(3y + -6) = 0 (-18 + 48y) + -8(3y + -6) = 0 Reorder the terms: -18 + 48y + -8(-6 + 3y) = 0 -18 + 48y + (-6 * -8 + 3y * -8) = 0 -18 + 48y + (48 + -24y) = 0 Reorder the terms: -18 + 48 + 48y + -24y = 0 Combine like terms: -18 + 48 = 30 30 + 48y + -24y = 0 Combine like terms: 48y + -24y = 24y 30 + 24y = 0 Solving 30 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 24y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 24y = 0 + -30 24y = 0 + -30 Combine like terms: 0 + -30 = -30 24y = -30 Divide each side by '24'. y = -1.25 Simplifying y = -1.25
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