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Simplifying -2(-2y + 1) + -1(3y + -3) + 6y + 1 = 0 Reorder the terms: -2(1 + -2y) + -1(3y + -3) + 6y + 1 = 0 (1 * -2 + -2y * -2) + -1(3y + -3) + 6y + 1 = 0 (-2 + 4y) + -1(3y + -3) + 6y + 1 = 0 Reorder the terms: -2 + 4y + -1(-3 + 3y) + 6y + 1 = 0 -2 + 4y + (-3 * -1 + 3y * -1) + 6y + 1 = 0 -2 + 4y + (3 + -3y) + 6y + 1 = 0 Reorder the terms: -2 + 3 + 1 + 4y + -3y + 6y = 0 Combine like terms: -2 + 3 = 1 1 + 1 + 4y + -3y + 6y = 0 Combine like terms: 1 + 1 = 2 2 + 4y + -3y + 6y = 0 Combine like terms: 4y + -3y = 1y 2 + 1y + 6y = 0 Combine like terms: 1y + 6y = 7y 2 + 7y = 0 Solving 2 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857
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