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