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Simplifying -3(-4y + 1) + -1(4y + -2) + -6y + 4 = 0 Reorder the terms: -3(1 + -4y) + -1(4y + -2) + -6y + 4 = 0 (1 * -3 + -4y * -3) + -1(4y + -2) + -6y + 4 = 0 (-3 + 12y) + -1(4y + -2) + -6y + 4 = 0 Reorder the terms: -3 + 12y + -1(-2 + 4y) + -6y + 4 = 0 -3 + 12y + (-2 * -1 + 4y * -1) + -6y + 4 = 0 -3 + 12y + (2 + -4y) + -6y + 4 = 0 Reorder the terms: -3 + 2 + 4 + 12y + -4y + -6y = 0 Combine like terms: -3 + 2 = -1 -1 + 4 + 12y + -4y + -6y = 0 Combine like terms: -1 + 4 = 3 3 + 12y + -4y + -6y = 0 Combine like terms: 12y + -4y = 8y 3 + 8y + -6y = 0 Combine like terms: 8y + -6y = 2y 3 + 2y = 0 Solving 3 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5
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