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Simplifying 4x + -2(x + 3y) + -1(3 + 2x) = 0 4x + (x * -2 + 3y * -2) + -1(3 + 2x) = 0 4x + (-2x + -6y) + -1(3 + 2x) = 0 4x + -2x + -6y + (3 * -1 + 2x * -1) = 0 4x + -2x + -6y + (-3 + -2x) = 0 Reorder the terms: -3 + 4x + -2x + -2x + -6y = 0 Combine like terms: 4x + -2x = 2x -3 + 2x + -2x + -6y = 0 Combine like terms: 2x + -2x = 0 -3 + 0 + -6y = 0 -3 + -6y = 0 Solving -3 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6y = 0 + 3 -6y = 0 + 3 Combine like terms: 0 + 3 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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