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Simplifying -4(y + -6) + 3(2y + -1) = 0 Reorder the terms: -4(-6 + y) + 3(2y + -1) = 0 (-6 * -4 + y * -4) + 3(2y + -1) = 0 (24 + -4y) + 3(2y + -1) = 0 Reorder the terms: 24 + -4y + 3(-1 + 2y) = 0 24 + -4y + (-1 * 3 + 2y * 3) = 0 24 + -4y + (-3 + 6y) = 0 Reorder the terms: 24 + -3 + -4y + 6y = 0 Combine like terms: 24 + -3 = 21 21 + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 21 + 2y = 0 Solving 21 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 0 + -21 2y = 0 + -21 Combine like terms: 0 + -21 = -21 2y = -21 Divide each side by '2'. y = -10.5 Simplifying y = -10.5
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