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Simplifying -1(2x + -3y) + 5x + 2 + -3x + 3y + 2 = 0 (2x * -1 + -3y * -1) + 5x + 2 + -3x + 3y + 2 = 0 (-2x + 3y) + 5x + 2 + -3x + 3y + 2 = 0 Reorder the terms: 2 + 2 + -2x + 5x + -3x + 3y + 3y = 0 Combine like terms: 2 + 2 = 4 4 + -2x + 5x + -3x + 3y + 3y = 0 Combine like terms: -2x + 5x = 3x 4 + 3x + -3x + 3y + 3y = 0 Combine like terms: 3x + -3x = 0 4 + 0 + 3y + 3y = 0 4 + 3y + 3y = 0 Combine like terms: 3y + 3y = 6y 4 + 6y = 0 Solving 4 + 6y = 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 + 6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = 0 + -4 6y = 0 + -4 Combine like terms: 0 + -4 = -4 6y = -4 Divide each side by '6'. y = -0.6666666667 Simplifying y = -0.6666666667
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