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Simplifying -24 + 3[4y + 2(5y + -8)] + -9y = 0 Reorder the terms: -24 + 3[4y + 2(-8 + 5y)] + -9y = 0 -24 + 3[4y + (-8 * 2 + 5y * 2)] + -9y = 0 -24 + 3[4y + (-16 + 10y)] + -9y = 0 Reorder the terms: -24 + 3[-16 + 4y + 10y] + -9y = 0 Combine like terms: 4y + 10y = 14y -24 + 3[-16 + 14y] + -9y = 0 -24 + [-16 * 3 + 14y * 3] + -9y = 0 -24 + [-48 + 42y] + -9y = 0 Combine like terms: -24 + -48 = -72 -72 + 42y + -9y = 0 Combine like terms: 42y + -9y = 33y -72 + 33y = 0 Solving -72 + 33y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 33y = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 33y = 0 + 72 33y = 0 + 72 Combine like terms: 0 + 72 = 72 33y = 72 Divide each side by '33'. y = 2.181818182 Simplifying y = 2.181818182
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