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Simplifying 5(9y + -6) + -1(2y + 8) = 0 Reorder the terms: 5(-6 + 9y) + -1(2y + 8) = 0 (-6 * 5 + 9y * 5) + -1(2y + 8) = 0 (-30 + 45y) + -1(2y + 8) = 0 Reorder the terms: -30 + 45y + -1(8 + 2y) = 0 -30 + 45y + (8 * -1 + 2y * -1) = 0 -30 + 45y + (-8 + -2y) = 0 Reorder the terms: -30 + -8 + 45y + -2y = 0 Combine like terms: -30 + -8 = -38 -38 + 45y + -2y = 0 Combine like terms: 45y + -2y = 43y -38 + 43y = 0 Solving -38 + 43y = 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 + 43y = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 43y = 0 + 38 43y = 0 + 38 Combine like terms: 0 + 38 = 38 43y = 38 Divide each side by '43'. y = 0.8837209302 Simplifying y = 0.8837209302
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