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Simplifying (10 + y)(10 + -1y) = 0 Multiply (10 + y) * (10 + -1y) (10(10 + -1y) + y(10 + -1y)) = 0 ((10 * 10 + -1y * 10) + y(10 + -1y)) = 0 ((100 + -10y) + y(10 + -1y)) = 0 (100 + -10y + (10 * y + -1y * y)) = 0 (100 + -10y + (10y + -1y2)) = 0 Combine like terms: -10y + 10y = 0 (100 + 0 + -1y2) = 0 (100 + -1y2) = 0 Solving 100 + -1y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1y2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1y2 = 0 + -100 -1y2 = 0 + -100 Combine like terms: 0 + -100 = -100 -1y2 = -100 Divide each side by '-1'. y2 = 100 Simplifying y2 = 100 Take the square root of each side: y = {-10, 10}
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