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Simplifying 8(4y + -9) + -1(4y + 9) = 0 Reorder the terms: 8(-9 + 4y) + -1(4y + 9) = 0 (-9 * 8 + 4y * 8) + -1(4y + 9) = 0 (-72 + 32y) + -1(4y + 9) = 0 Reorder the terms: -72 + 32y + -1(9 + 4y) = 0 -72 + 32y + (9 * -1 + 4y * -1) = 0 -72 + 32y + (-9 + -4y) = 0 Reorder the terms: -72 + -9 + 32y + -4y = 0 Combine like terms: -72 + -9 = -81 -81 + 32y + -4y = 0 Combine like terms: 32y + -4y = 28y -81 + 28y = 0 Solving -81 + 28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 28y = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 28y = 0 + 81 28y = 0 + 81 Combine like terms: 0 + 81 = 81 28y = 81 Divide each side by '28'. y = 2.892857143 Simplifying y = 2.892857143
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