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Simplifying 3(9y + -2) + -1(3y + 6) = 0 Reorder the terms: 3(-2 + 9y) + -1(3y + 6) = 0 (-2 * 3 + 9y * 3) + -1(3y + 6) = 0 (-6 + 27y) + -1(3y + 6) = 0 Reorder the terms: -6 + 27y + -1(6 + 3y) = 0 -6 + 27y + (6 * -1 + 3y * -1) = 0 -6 + 27y + (-6 + -3y) = 0 Reorder the terms: -6 + -6 + 27y + -3y = 0 Combine like terms: -6 + -6 = -12 -12 + 27y + -3y = 0 Combine like terms: 27y + -3y = 24y -12 + 24y = 0 Solving -12 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 24y = 0 + 12 24y = 0 + 12 Combine like terms: 0 + 12 = 12 24y = 12 Divide each side by '24'. y = 0.5 Simplifying y = 0.5
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