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Simplifying 2(5y + 9) + -6(8y + 4) = 0 Reorder the terms: 2(9 + 5y) + -6(8y + 4) = 0 (9 * 2 + 5y * 2) + -6(8y + 4) = 0 (18 + 10y) + -6(8y + 4) = 0 Reorder the terms: 18 + 10y + -6(4 + 8y) = 0 18 + 10y + (4 * -6 + 8y * -6) = 0 18 + 10y + (-24 + -48y) = 0 Reorder the terms: 18 + -24 + 10y + -48y = 0 Combine like terms: 18 + -24 = -6 -6 + 10y + -48y = 0 Combine like terms: 10y + -48y = -38y -6 + -38y = 0 Solving -6 + -38y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -38y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -38y = 0 + 6 -38y = 0 + 6 Combine like terms: 0 + 6 = 6 -38y = 6 Divide each side by '-38'. y = -0.1578947368 Simplifying y = -0.1578947368
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