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Simplifying -2(-2y + 2) + -1(4y + -5) + 9y + 1 = 0 Reorder the terms: -2(2 + -2y) + -1(4y + -5) + 9y + 1 = 0 (2 * -2 + -2y * -2) + -1(4y + -5) + 9y + 1 = 0 (-4 + 4y) + -1(4y + -5) + 9y + 1 = 0 Reorder the terms: -4 + 4y + -1(-5 + 4y) + 9y + 1 = 0 -4 + 4y + (-5 * -1 + 4y * -1) + 9y + 1 = 0 -4 + 4y + (5 + -4y) + 9y + 1 = 0 Reorder the terms: -4 + 5 + 1 + 4y + -4y + 9y = 0 Combine like terms: -4 + 5 = 1 1 + 1 + 4y + -4y + 9y = 0 Combine like terms: 1 + 1 = 2 2 + 4y + -4y + 9y = 0 Combine like terms: 4y + -4y = 0 2 + 0 + 9y = 0 2 + 9y = 0 Solving 2 + 9y = 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 + 9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 0 + -2 9y = 0 + -2 Combine like terms: 0 + -2 = -2 9y = -2 Divide each side by '9'. y = -0.2222222222 Simplifying y = -0.2222222222
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