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Simplifying -6(8y + -2) = 3(8y + -8) Reorder the terms: -6(-2 + 8y) = 3(8y + -8) (-2 * -6 + 8y * -6) = 3(8y + -8) (12 + -48y) = 3(8y + -8) Reorder the terms: 12 + -48y = 3(-8 + 8y) 12 + -48y = (-8 * 3 + 8y * 3) 12 + -48y = (-24 + 24y) Solving 12 + -48y = -24 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 12 + -48y + -24y = -24 + 24y + -24y Combine like terms: -48y + -24y = -72y 12 + -72y = -24 + 24y + -24y Combine like terms: 24y + -24y = 0 12 + -72y = -24 + 0 12 + -72y = -24 Add '-12' to each side of the equation. 12 + -12 + -72y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -72y = -24 + -12 -72y = -24 + -12 Combine like terms: -24 + -12 = -36 -72y = -36 Divide each side by '-72'. y = 0.5 Simplifying y = 0.5
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