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Simplifying 7(4y + -9) + -1(4y + 8) = 0 Reorder the terms: 7(-9 + 4y) + -1(4y + 8) = 0 (-9 * 7 + 4y * 7) + -1(4y + 8) = 0 (-63 + 28y) + -1(4y + 8) = 0 Reorder the terms: -63 + 28y + -1(8 + 4y) = 0 -63 + 28y + (8 * -1 + 4y * -1) = 0 -63 + 28y + (-8 + -4y) = 0 Reorder the terms: -63 + -8 + 28y + -4y = 0 Combine like terms: -63 + -8 = -71 -71 + 28y + -4y = 0 Combine like terms: 28y + -4y = 24y -71 + 24y = 0 Solving -71 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 24y = 0 + 71 Combine like terms: -71 + 71 = 0 0 + 24y = 0 + 71 24y = 0 + 71 Combine like terms: 0 + 71 = 71 24y = 71 Divide each side by '24'. y = 2.958333333 Simplifying y = 2.958333333
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