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Simplifying 6(3y + -1) + 2 + -1(-3y + 4) = 0 Reorder the terms: 6(-1 + 3y) + 2 + -1(-3y + 4) = 0 (-1 * 6 + 3y * 6) + 2 + -1(-3y + 4) = 0 (-6 + 18y) + 2 + -1(-3y + 4) = 0 Reorder the terms: -6 + 18y + 2 + -1(4 + -3y) = 0 -6 + 18y + 2 + (4 * -1 + -3y * -1) = 0 -6 + 18y + 2 + (-4 + 3y) = 0 Reorder the terms: -6 + 2 + -4 + 18y + 3y = 0 Combine like terms: -6 + 2 = -4 -4 + -4 + 18y + 3y = 0 Combine like terms: -4 + -4 = -8 -8 + 18y + 3y = 0 Combine like terms: 18y + 3y = 21y -8 + 21y = 0 Solving -8 + 21y = 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 + 21y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 21y = 0 + 8 21y = 0 + 8 Combine like terms: 0 + 8 = 8 21y = 8 Divide each side by '21'. y = 0.380952381 Simplifying y = 0.380952381
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