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Simplifying 2(3y + -4) + 4(2y + 4) = 0 Reorder the terms: 2(-4 + 3y) + 4(2y + 4) = 0 (-4 * 2 + 3y * 2) + 4(2y + 4) = 0 (-8 + 6y) + 4(2y + 4) = 0 Reorder the terms: -8 + 6y + 4(4 + 2y) = 0 -8 + 6y + (4 * 4 + 2y * 4) = 0 -8 + 6y + (16 + 8y) = 0 Reorder the terms: -8 + 16 + 6y + 8y = 0 Combine like terms: -8 + 16 = 8 8 + 6y + 8y = 0 Combine like terms: 6y + 8y = 14y 8 + 14y = 0 Solving 8 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 14y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 14y = 0 + -8 14y = 0 + -8 Combine like terms: 0 + -8 = -8 14y = -8 Divide each side by '14'. y = -0.5714285714 Simplifying y = -0.5714285714
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