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Simplifying y(3y + -2) + -6 = -3y(1 + -1y) Reorder the terms: y(-2 + 3y) + -6 = -3y(1 + -1y) (-2 * y + 3y * y) + -6 = -3y(1 + -1y) (-2y + 3y2) + -6 = -3y(1 + -1y) Reorder the terms: -6 + -2y + 3y2 = -3y(1 + -1y) -6 + -2y + 3y2 = (1 * -3y + -1y * -3y) -6 + -2y + 3y2 = (-3y + 3y2) Add '-3y2' to each side of the equation. -6 + -2y + 3y2 + -3y2 = -3y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -6 + -2y + 0 = -3y + 3y2 + -3y2 -6 + -2y = -3y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -6 + -2y = -3y + 0 -6 + -2y = -3y Solving -6 + -2y = -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. -6 + -2y + 3y = -3y + 3y Combine like terms: -2y + 3y = 1y -6 + 1y = -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 1y = 0 Add '6' to each side of the equation. -6 + 6 + 1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 0 + 6 1y = 0 + 6 Combine like terms: 0 + 6 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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