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Simplifying 3(2x + -1y) + -2 = 2(3x + -4) + 4 (2x * 3 + -1y * 3) + -2 = 2(3x + -4) + 4 (6x + -3y) + -2 = 2(3x + -4) + 4 Reorder the terms: -2 + 6x + -3y = 2(3x + -4) + 4 Reorder the terms: -2 + 6x + -3y = 2(-4 + 3x) + 4 -2 + 6x + -3y = (-4 * 2 + 3x * 2) + 4 -2 + 6x + -3y = (-8 + 6x) + 4 Reorder the terms: -2 + 6x + -3y = -8 + 4 + 6x Combine like terms: -8 + 4 = -4 -2 + 6x + -3y = -4 + 6x Add '-6x' to each side of the equation. -2 + 6x + -6x + -3y = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 + -3y = -4 + 6x + -6x -2 + -3y = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3y = -4 + 0 -2 + -3y = -4 Solving -2 + -3y = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3y = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = -4 + 2 -3y = -4 + 2 Combine like terms: -4 + 2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667
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