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Simplifying (-2y)(3y2 + -4) = (-2y)(3y2) + (-2y) Remove parenthesis around (-2y) -2y(3y2 + -4) = (-2y)(3y2) + (-2y) Reorder the terms: -2y(-4 + 3y2) = (-2y)(3y2) + (-2y) (-4 * -2y + 3y2 * -2y) = (-2y)(3y2) + (-2y) (8y + -6y3) = (-2y)(3y2) + (-2y) Remove parenthesis around (-2y) 8y + -6y3 = -2y(3y2) + (-2y) Remove parenthesis around (3y2) 8y + -6y3 = -2y * 3y2 + (-2y) Reorder the terms for easier multiplication: 8y + -6y3 = -2 * 3y * y2 + (-2y) Multiply -2 * 3 8y + -6y3 = -6y * y2 + (-2y) Multiply y * y2 8y + -6y3 = -6y3 + (-2y) Reorder the terms: 8y + -6y3 = (-2y) + -6y3 Add '6y3' to each side of the equation. 8y + -6y3 + 6y3 = (-2y) + -6y3 + 6y3 Combine like terms: -6y3 + 6y3 = 0 8y + 0 = (-2y) + -6y3 + 6y3 8y = (-2y) + -6y3 + 6y3 Combine like terms: -6y3 + 6y3 = 0 8y = (-2y) + 0 8y = (-2y) Solving 8y = (-2y) Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '(2y)' to each side of the equation. 8y + (2y) = (-2y) + (2y) Combine like terms: 8y + (2y) = 10y 10y = (-2y) + (2y) Combine like terms: (-2y) + (2y) = 0 10y = 0 Divide each side by '10'. y = 0.0 Simplifying y = 0.0
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