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Simplifying 8(3y + -9) + -1(4y + 8) = 0 Reorder the terms: 8(-9 + 3y) + -1(4y + 8) = 0 (-9 * 8 + 3y * 8) + -1(4y + 8) = 0 (-72 + 24y) + -1(4y + 8) = 0 Reorder the terms: -72 + 24y + -1(8 + 4y) = 0 -72 + 24y + (8 * -1 + 4y * -1) = 0 -72 + 24y + (-8 + -4y) = 0 Reorder the terms: -72 + -8 + 24y + -4y = 0 Combine like terms: -72 + -8 = -80 -80 + 24y + -4y = 0 Combine like terms: 24y + -4y = 20y -80 + 20y = 0 Solving -80 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 20y = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 20y = 0 + 80 20y = 0 + 80 Combine like terms: 0 + 80 = 80 20y = 80 Divide each side by '20'. y = 4 Simplifying y = 4
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