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Simplifying 6(2y + -7) + -1(7y + 9) = 0 Reorder the terms: 6(-7 + 2y) + -1(7y + 9) = 0 (-7 * 6 + 2y * 6) + -1(7y + 9) = 0 (-42 + 12y) + -1(7y + 9) = 0 Reorder the terms: -42 + 12y + -1(9 + 7y) = 0 -42 + 12y + (9 * -1 + 7y * -1) = 0 -42 + 12y + (-9 + -7y) = 0 Reorder the terms: -42 + -9 + 12y + -7y = 0 Combine like terms: -42 + -9 = -51 -51 + 12y + -7y = 0 Combine like terms: 12y + -7y = 5y -51 + 5y = 0 Solving -51 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 5y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 5y = 0 + 51 5y = 0 + 51 Combine like terms: 0 + 51 = 51 5y = 51 Divide each side by '5'. y = 10.2 Simplifying y = 10.2
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