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Simplifying (3y + -2)(y + -2) + -1y + -3y + -4 = 3y2 Reorder the terms: (-2 + 3y)(y + -2) + -1y + -3y + -4 = 3y2 Reorder the terms: (-2 + 3y)(-2 + y) + -1y + -3y + -4 = 3y2 Multiply (-2 + 3y) * (-2 + y) (-2(-2 + y) + 3y * (-2 + y)) + -1y + -3y + -4 = 3y2 ((-2 * -2 + y * -2) + 3y * (-2 + y)) + -1y + -3y + -4 = 3y2 ((4 + -2y) + 3y * (-2 + y)) + -1y + -3y + -4 = 3y2 (4 + -2y + (-2 * 3y + y * 3y)) + -1y + -3y + -4 = 3y2 (4 + -2y + (-6y + 3y2)) + -1y + -3y + -4 = 3y2 Combine like terms: -2y + -6y = -8y (4 + -8y + 3y2) + -1y + -3y + -4 = 3y2 Reorder the terms: 4 + -4 + -8y + -1y + -3y + 3y2 = 3y2 Combine like terms: 4 + -4 = 0 0 + -8y + -1y + -3y + 3y2 = 3y2 -8y + -1y + -3y + 3y2 = 3y2 Combine like terms: -8y + -1y = -9y -9y + -3y + 3y2 = 3y2 Combine like terms: -9y + -3y = -12y -12y + 3y2 = 3y2 Add '-3y2' to each side of the equation. -12y + 3y2 + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -12y + 0 = 3y2 + -3y2 -12y = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -12y = 0 Solving -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-12'. y = 0 Simplifying y = 0
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