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Simplifying 2(9y + -6) + -1(5y + 8) = 0 Reorder the terms: 2(-6 + 9y) + -1(5y + 8) = 0 (-6 * 2 + 9y * 2) + -1(5y + 8) = 0 (-12 + 18y) + -1(5y + 8) = 0 Reorder the terms: -12 + 18y + -1(8 + 5y) = 0 -12 + 18y + (8 * -1 + 5y * -1) = 0 -12 + 18y + (-8 + -5y) = 0 Reorder the terms: -12 + -8 + 18y + -5y = 0 Combine like terms: -12 + -8 = -20 -20 + 18y + -5y = 0 Combine like terms: 18y + -5y = 13y -20 + 13y = 0 Solving -20 + 13y = 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 + 13y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 13y = 0 + 20 13y = 0 + 20 Combine like terms: 0 + 20 = 20 13y = 20 Divide each side by '13'. y = 1.538461538 Simplifying y = 1.538461538
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