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Simplifying 6(2y + -9) + -1(y + 6) = 0 Reorder the terms: 6(-9 + 2y) + -1(y + 6) = 0 (-9 * 6 + 2y * 6) + -1(y + 6) = 0 (-54 + 12y) + -1(y + 6) = 0 Reorder the terms: -54 + 12y + -1(6 + y) = 0 -54 + 12y + (6 * -1 + y * -1) = 0 -54 + 12y + (-6 + -1y) = 0 Reorder the terms: -54 + -6 + 12y + -1y = 0 Combine like terms: -54 + -6 = -60 -60 + 12y + -1y = 0 Combine like terms: 12y + -1y = 11y -60 + 11y = 0 Solving -60 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 11y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 11y = 0 + 60 11y = 0 + 60 Combine like terms: 0 + 60 = 60 11y = 60 Divide each side by '11'. y = 5.454545455 Simplifying y = 5.454545455
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