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Simplifying -4(2y + -3) + 6(8y + -4) = 12 Reorder the terms: -4(-3 + 2y) + 6(8y + -4) = 12 (-3 * -4 + 2y * -4) + 6(8y + -4) = 12 (12 + -8y) + 6(8y + -4) = 12 Reorder the terms: 12 + -8y + 6(-4 + 8y) = 12 12 + -8y + (-4 * 6 + 8y * 6) = 12 12 + -8y + (-24 + 48y) = 12 Reorder the terms: 12 + -24 + -8y + 48y = 12 Combine like terms: 12 + -24 = -12 -12 + -8y + 48y = 12 Combine like terms: -8y + 48y = 40y -12 + 40y = 12 Solving -12 + 40y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 40y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 40y = 12 + 12 40y = 12 + 12 Combine like terms: 12 + 12 = 24 40y = 24 Divide each side by '40'. y = 0.6 Simplifying y = 0.6
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