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Simplifying -4(y + -9) + 3(2y + -1) = 0 Reorder the terms: -4(-9 + y) + 3(2y + -1) = 0 (-9 * -4 + y * -4) + 3(2y + -1) = 0 (36 + -4y) + 3(2y + -1) = 0 Reorder the terms: 36 + -4y + 3(-1 + 2y) = 0 36 + -4y + (-1 * 3 + 2y * 3) = 0 36 + -4y + (-3 + 6y) = 0 Reorder the terms: 36 + -3 + -4y + 6y = 0 Combine like terms: 36 + -3 = 33 33 + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 33 + 2y = 0 Solving 33 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 2y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 2y = 0 + -33 2y = 0 + -33 Combine like terms: 0 + -33 = -33 2y = -33 Divide each side by '2'. y = -16.5 Simplifying y = -16.5
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