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Simplifying 3(4x + -2y) + -4(3x + y) = 0 (4x * 3 + -2y * 3) + -4(3x + y) = 0 (12x + -6y) + -4(3x + y) = 0 12x + -6y + (3x * -4 + y * -4) = 0 12x + -6y + (-12x + -4y) = 0 Reorder the terms: 12x + -12x + -6y + -4y = 0 Combine like terms: 12x + -12x = 0 0 + -6y + -4y = 0 -6y + -4y = 0 Combine like terms: -6y + -4y = -10y -10y = 0 Solving -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-10'. y = 0.0 Simplifying y = 0.0
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