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Simplifying 6(2y + -4) + -1(8y + 9) = 0 Reorder the terms: 6(-4 + 2y) + -1(8y + 9) = 0 (-4 * 6 + 2y * 6) + -1(8y + 9) = 0 (-24 + 12y) + -1(8y + 9) = 0 Reorder the terms: -24 + 12y + -1(9 + 8y) = 0 -24 + 12y + (9 * -1 + 8y * -1) = 0 -24 + 12y + (-9 + -8y) = 0 Reorder the terms: -24 + -9 + 12y + -8y = 0 Combine like terms: -24 + -9 = -33 -33 + 12y + -8y = 0 Combine like terms: 12y + -8y = 4y -33 + 4y = 0 Solving -33 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4y = 0 + 33 4y = 0 + 33 Combine like terms: 0 + 33 = 33 4y = 33 Divide each side by '4'. y = 8.25 Simplifying y = 8.25
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