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Simplifying (2y2 + 3 + -1y) + -1(2 + 2y2 + -5y) = 0 Reorder the terms: (3 + -1y + 2y2) + -1(2 + 2y2 + -5y) = 0 Remove parenthesis around (3 + -1y + 2y2) 3 + -1y + 2y2 + -1(2 + 2y2 + -5y) = 0 Reorder the terms: 3 + -1y + 2y2 + -1(2 + -5y + 2y2) = 0 3 + -1y + 2y2 + (2 * -1 + -5y * -1 + 2y2 * -1) = 0 3 + -1y + 2y2 + (-2 + 5y + -2y2) = 0 Reorder the terms: 3 + -2 + -1y + 5y + 2y2 + -2y2 = 0 Combine like terms: 3 + -2 = 1 1 + -1y + 5y + 2y2 + -2y2 = 0 Combine like terms: -1y + 5y = 4y 1 + 4y + 2y2 + -2y2 = 0 Combine like terms: 2y2 + -2y2 = 0 1 + 4y + 0 = 0 1 + 4y = 0 Solving 1 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25
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