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Simplifying -3(-4y + 2) + -1(3y + -3) + -2y + 6 = 0 Reorder the terms: -3(2 + -4y) + -1(3y + -3) + -2y + 6 = 0 (2 * -3 + -4y * -3) + -1(3y + -3) + -2y + 6 = 0 (-6 + 12y) + -1(3y + -3) + -2y + 6 = 0 Reorder the terms: -6 + 12y + -1(-3 + 3y) + -2y + 6 = 0 -6 + 12y + (-3 * -1 + 3y * -1) + -2y + 6 = 0 -6 + 12y + (3 + -3y) + -2y + 6 = 0 Reorder the terms: -6 + 3 + 6 + 12y + -3y + -2y = 0 Combine like terms: -6 + 3 = -3 -3 + 6 + 12y + -3y + -2y = 0 Combine like terms: -3 + 6 = 3 3 + 12y + -3y + -2y = 0 Combine like terms: 12y + -3y = 9y 3 + 9y + -2y = 0 Combine like terms: 9y + -2y = 7y 3 + 7y = 0 Solving 3 + 7y = 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 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286
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