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Simplifying 2(3y + -1) + -3(2 + 3y) = 0 Reorder the terms: 2(-1 + 3y) + -3(2 + 3y) = 0 (-1 * 2 + 3y * 2) + -3(2 + 3y) = 0 (-2 + 6y) + -3(2 + 3y) = 0 -2 + 6y + (2 * -3 + 3y * -3) = 0 -2 + 6y + (-6 + -9y) = 0 Reorder the terms: -2 + -6 + 6y + -9y = 0 Combine like terms: -2 + -6 = -8 -8 + 6y + -9y = 0 Combine like terms: 6y + -9y = -3y -8 + -3y = 0 Solving -8 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 0 + 8 -3y = 0 + 8 Combine like terms: 0 + 8 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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