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Simplifying 8(4y + -3) + -1(9y + 2) = 0 Reorder the terms: 8(-3 + 4y) + -1(9y + 2) = 0 (-3 * 8 + 4y * 8) + -1(9y + 2) = 0 (-24 + 32y) + -1(9y + 2) = 0 Reorder the terms: -24 + 32y + -1(2 + 9y) = 0 -24 + 32y + (2 * -1 + 9y * -1) = 0 -24 + 32y + (-2 + -9y) = 0 Reorder the terms: -24 + -2 + 32y + -9y = 0 Combine like terms: -24 + -2 = -26 -26 + 32y + -9y = 0 Combine like terms: 32y + -9y = 23y -26 + 23y = 0 Solving -26 + 23y = 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 + 23y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 23y = 0 + 26 23y = 0 + 26 Combine like terms: 0 + 26 = 26 23y = 26 Divide each side by '23'. y = 1.130434783 Simplifying y = 1.130434783
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