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Simplifying -2(-2y + 2) + -1(4y + -6) + 8y + 1 = 0 Reorder the terms: -2(2 + -2y) + -1(4y + -6) + 8y + 1 = 0 (2 * -2 + -2y * -2) + -1(4y + -6) + 8y + 1 = 0 (-4 + 4y) + -1(4y + -6) + 8y + 1 = 0 Reorder the terms: -4 + 4y + -1(-6 + 4y) + 8y + 1 = 0 -4 + 4y + (-6 * -1 + 4y * -1) + 8y + 1 = 0 -4 + 4y + (6 + -4y) + 8y + 1 = 0 Reorder the terms: -4 + 6 + 1 + 4y + -4y + 8y = 0 Combine like terms: -4 + 6 = 2 2 + 1 + 4y + -4y + 8y = 0 Combine like terms: 2 + 1 = 3 3 + 4y + -4y + 8y = 0 Combine like terms: 4y + -4y = 0 3 + 0 + 8y = 0 3 + 8y = 0 Solving 3 + 8y = 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 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Divide each side by '8'. y = -0.375 Simplifying y = -0.375
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