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Simplifying 6(9y + -2) + -1(3y + 8) = 0 Reorder the terms: 6(-2 + 9y) + -1(3y + 8) = 0 (-2 * 6 + 9y * 6) + -1(3y + 8) = 0 (-12 + 54y) + -1(3y + 8) = 0 Reorder the terms: -12 + 54y + -1(8 + 3y) = 0 -12 + 54y + (8 * -1 + 3y * -1) = 0 -12 + 54y + (-8 + -3y) = 0 Reorder the terms: -12 + -8 + 54y + -3y = 0 Combine like terms: -12 + -8 = -20 -20 + 54y + -3y = 0 Combine like terms: 54y + -3y = 51y -20 + 51y = 0 Solving -20 + 51y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 51y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 51y = 0 + 20 51y = 0 + 20 Combine like terms: 0 + 20 = 20 51y = 20 Divide each side by '51'. y = 0.3921568627 Simplifying y = 0.3921568627
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