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Simplifying 4(2y + -3) + 2(3y + 4) = 0 Reorder the terms: 4(-3 + 2y) + 2(3y + 4) = 0 (-3 * 4 + 2y * 4) + 2(3y + 4) = 0 (-12 + 8y) + 2(3y + 4) = 0 Reorder the terms: -12 + 8y + 2(4 + 3y) = 0 -12 + 8y + (4 * 2 + 3y * 2) = 0 -12 + 8y + (8 + 6y) = 0 Reorder the terms: -12 + 8 + 8y + 6y = 0 Combine like terms: -12 + 8 = -4 -4 + 8y + 6y = 0 Combine like terms: 8y + 6y = 14y -4 + 14y = 0 Solving -4 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 14y = 0 + 4 14y = 0 + 4 Combine like terms: 0 + 4 = 4 14y = 4 Divide each side by '14'. y = 0.2857142857 Simplifying y = 0.2857142857
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