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Simplifying (4y + -1)(3y + 1) = 12y2 + y + -1 Reorder the terms: (-1 + 4y)(3y + 1) = 12y2 + y + -1 Reorder the terms: (-1 + 4y)(1 + 3y) = 12y2 + y + -1 Multiply (-1 + 4y) * (1 + 3y) (-1(1 + 3y) + 4y * (1 + 3y)) = 12y2 + y + -1 ((1 * -1 + 3y * -1) + 4y * (1 + 3y)) = 12y2 + y + -1 ((-1 + -3y) + 4y * (1 + 3y)) = 12y2 + y + -1 (-1 + -3y + (1 * 4y + 3y * 4y)) = 12y2 + y + -1 (-1 + -3y + (4y + 12y2)) = 12y2 + y + -1 Combine like terms: -3y + 4y = 1y (-1 + 1y + 12y2) = 12y2 + y + -1 Reorder the terms: -1 + 1y + 12y2 = -1 + y + 12y2 Add '1' to each side of the equation. -1 + 1y + 1 + 12y2 = -1 + y + 1 + 12y2 Reorder the terms: -1 + 1 + 1y + 12y2 = -1 + y + 1 + 12y2 Combine like terms: -1 + 1 = 0 0 + 1y + 12y2 = -1 + y + 1 + 12y2 1y + 12y2 = -1 + y + 1 + 12y2 Reorder the terms: 1y + 12y2 = -1 + 1 + y + 12y2 Combine like terms: -1 + 1 = 0 1y + 12y2 = 0 + y + 12y2 1y + 12y2 = y + 12y2 Add '-12y2' to each side of the equation. 1y + 12y2 + -12y2 = y + 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 1y + 0 = y + 12y2 + -12y2 1y = y + 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 1y = y + 0 1y = y Solving 1y = y 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. 1y + -1y = y + -1y Combine like terms: 1y + -1y = 0 0 = y + -1y Combine like terms: y + -1y = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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