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