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Simplifying 3(-3y + 2) = 8(3y + -2) Reorder the terms: 3(2 + -3y) = 8(3y + -2) (2 * 3 + -3y * 3) = 8(3y + -2) (6 + -9y) = 8(3y + -2) Reorder the terms: 6 + -9y = 8(-2 + 3y) 6 + -9y = (-2 * 8 + 3y * 8) 6 + -9y = (-16 + 24y) Solving 6 + -9y = -16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 6 + -9y + -24y = -16 + 24y + -24y Combine like terms: -9y + -24y = -33y 6 + -33y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 6 + -33y = -16 + 0 6 + -33y = -16 Add '-6' to each side of the equation. 6 + -6 + -33y = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -33y = -16 + -6 -33y = -16 + -6 Combine like terms: -16 + -6 = -22 -33y = -22 Divide each side by '-33'. y = 0.6666666667 Simplifying y = 0.6666666667
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