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Simplifying 6(4y + -4) + -1(3y + 8) = 0 Reorder the terms: 6(-4 + 4y) + -1(3y + 8) = 0 (-4 * 6 + 4y * 6) + -1(3y + 8) = 0 (-24 + 24y) + -1(3y + 8) = 0 Reorder the terms: -24 + 24y + -1(8 + 3y) = 0 -24 + 24y + (8 * -1 + 3y * -1) = 0 -24 + 24y + (-8 + -3y) = 0 Reorder the terms: -24 + -8 + 24y + -3y = 0 Combine like terms: -24 + -8 = -32 -32 + 24y + -3y = 0 Combine like terms: 24y + -3y = 21y -32 + 21y = 0 Solving -32 + 21y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 21y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 21y = 0 + 32 21y = 0 + 32 Combine like terms: 0 + 32 = 32 21y = 32 Divide each side by '21'. y = 1.523809524 Simplifying y = 1.523809524
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