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Simplifying 7(9 + y) = 6(y + -6) (9 * 7 + y * 7) = 6(y + -6) (63 + 7y) = 6(y + -6) Reorder the terms: 63 + 7y = 6(-6 + y) 63 + 7y = (-6 * 6 + y * 6) 63 + 7y = (-36 + 6y) Solving 63 + 7y = -36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 63 + 7y + -6y = -36 + 6y + -6y Combine like terms: 7y + -6y = 1y 63 + 1y = -36 + 6y + -6y Combine like terms: 6y + -6y = 0 63 + 1y = -36 + 0 63 + 1y = -36 Add '-63' to each side of the equation. 63 + -63 + 1y = -36 + -63 Combine like terms: 63 + -63 = 0 0 + 1y = -36 + -63 1y = -36 + -63 Combine like terms: -36 + -63 = -99 1y = -99 Divide each side by '1'. y = -99 Simplifying y = -99
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