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Simplifying 7(2y + -9) + -1(6y + 6) = 0 Reorder the terms: 7(-9 + 2y) + -1(6y + 6) = 0 (-9 * 7 + 2y * 7) + -1(6y + 6) = 0 (-63 + 14y) + -1(6y + 6) = 0 Reorder the terms: -63 + 14y + -1(6 + 6y) = 0 -63 + 14y + (6 * -1 + 6y * -1) = 0 -63 + 14y + (-6 + -6y) = 0 Reorder the terms: -63 + -6 + 14y + -6y = 0 Combine like terms: -63 + -6 = -69 -69 + 14y + -6y = 0 Combine like terms: 14y + -6y = 8y -69 + 8y = 0 Solving -69 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 8y = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 8y = 0 + 69 8y = 0 + 69 Combine like terms: 0 + 69 = 69 8y = 69 Divide each side by '8'. y = 8.625 Simplifying y = 8.625
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