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Simplifying 6(9y + -5) + -1(6y + 8) = 0 Reorder the terms: 6(-5 + 9y) + -1(6y + 8) = 0 (-5 * 6 + 9y * 6) + -1(6y + 8) = 0 (-30 + 54y) + -1(6y + 8) = 0 Reorder the terms: -30 + 54y + -1(8 + 6y) = 0 -30 + 54y + (8 * -1 + 6y * -1) = 0 -30 + 54y + (-8 + -6y) = 0 Reorder the terms: -30 + -8 + 54y + -6y = 0 Combine like terms: -30 + -8 = -38 -38 + 54y + -6y = 0 Combine like terms: 54y + -6y = 48y -38 + 48y = 0 Solving -38 + 48y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 48y = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 48y = 0 + 38 48y = 0 + 38 Combine like terms: 0 + 38 = 38 48y = 38 Divide each side by '48'. y = 0.7916666667 Simplifying y = 0.7916666667
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