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Simplifying y(2 + -1y) = 6 + -1[y(y) + 3y + -4] (2 * y + -1y * y) = 6 + -1[y(y) + 3y + -4] (2y + -1y2) = 6 + -1[y(y) + 3y + -4] Multiply y * y 2y + -1y2 = 6 + -1[y2 + 3y + -4] Reorder the terms: 2y + -1y2 = 6 + -1[-4 + 3y + y2] 2y + -1y2 = 6 + [-4 * -1 + 3y * -1 + y2 * -1] 2y + -1y2 = 6 + [4 + -3y + -1y2] Combine like terms: 6 + 4 = 10 2y + -1y2 = 10 + -3y + -1y2 Add 'y2' to each side of the equation. 2y + -1y2 + y2 = 10 + -3y + -1y2 + y2 Combine like terms: -1y2 + y2 = 0 2y + 0 = 10 + -3y + -1y2 + y2 2y = 10 + -3y + -1y2 + y2 Combine like terms: -1y2 + y2 = 0 2y = 10 + -3y + 0 2y = 10 + -3y Solving 2y = 10 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 2y + 3y = 10 + -3y + 3y Combine like terms: 2y + 3y = 5y 5y = 10 + -3y + 3y Combine like terms: -3y + 3y = 0 5y = 10 + 0 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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