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Simplifying y(2r + 5) + 2y(y + -2) = 0 Reorder the terms: y(5 + 2r) + 2y(y + -2) = 0 (5 * y + 2r * y) + 2y(y + -2) = 0 Reorder the terms: (2ry + 5y) + 2y(y + -2) = 0 (2ry + 5y) + 2y(y + -2) = 0 Reorder the terms: 2ry + 5y + 2y(-2 + y) = 0 2ry + 5y + (-2 * 2y + y * 2y) = 0 2ry + 5y + (-4y + 2y2) = 0 Combine like terms: 5y + -4y = 1y 2ry + 1y + 2y2 = 0 Solving 2ry + 1y + 2y2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1y' to each side of the equation. 2ry + 1y + -1y + 2y2 = 0 + -1y Combine like terms: 1y + -1y = 0 2ry + 0 + 2y2 = 0 + -1y 2ry + 2y2 = 0 + -1y Remove the zero: 2ry + 2y2 = -1y Add '-2y2' to each side of the equation. 2ry + 2y2 + -2y2 = -1y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2ry + 0 = -1y + -2y2 2ry = -1y + -2y2 Divide each side by '2y'. r = -0.5 + -1y Simplifying r = -0.5 + -1y
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