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Simplifying 6(9y + -3) + -1(7y + 8) = 0 Reorder the terms: 6(-3 + 9y) + -1(7y + 8) = 0 (-3 * 6 + 9y * 6) + -1(7y + 8) = 0 (-18 + 54y) + -1(7y + 8) = 0 Reorder the terms: -18 + 54y + -1(8 + 7y) = 0 -18 + 54y + (8 * -1 + 7y * -1) = 0 -18 + 54y + (-8 + -7y) = 0 Reorder the terms: -18 + -8 + 54y + -7y = 0 Combine like terms: -18 + -8 = -26 -26 + 54y + -7y = 0 Combine like terms: 54y + -7y = 47y -26 + 47y = 0 Solving -26 + 47y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 47y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 47y = 0 + 26 47y = 0 + 26 Combine like terms: 0 + 26 = 26 47y = 26 Divide each side by '47'. y = 0.5531914894 Simplifying y = 0.5531914894
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