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Simplifying 3y + -1y2 = y(1 + -1y) + 42 3y + -1y2 = (1 * y + -1y * y) + 42 3y + -1y2 = (1y + -1y2) + 42 Reorder the terms: 3y + -1y2 = 42 + 1y + -1y2 Add 'y2' to each side of the equation. 3y + -1y2 + y2 = 42 + 1y + -1y2 + y2 Combine like terms: -1y2 + y2 = 0 3y + 0 = 42 + 1y + -1y2 + y2 3y = 42 + 1y + -1y2 + y2 Combine like terms: -1y2 + y2 = 0 3y = 42 + 1y + 0 3y = 42 + 1y Solving 3y = 42 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3y + -1y = 42 + 1y + -1y Combine like terms: 3y + -1y = 2y 2y = 42 + 1y + -1y Combine like terms: 1y + -1y = 0 2y = 42 + 0 2y = 42 Divide each side by '2'. y = 21 Simplifying y = 21
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