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Simplifying 7(9 + y) = 6(9 + y) (9 * 7 + y * 7) = 6(9 + y) (63 + 7y) = 6(9 + y) 63 + 7y = (9 * 6 + y * 6) 63 + 7y = (54 + 6y) Solving 63 + 7y = 54 + 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 = 54 + 6y + -6y Combine like terms: 7y + -6y = 1y 63 + 1y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 63 + 1y = 54 + 0 63 + 1y = 54 Add '-63' to each side of the equation. 63 + -63 + 1y = 54 + -63 Combine like terms: 63 + -63 = 0 0 + 1y = 54 + -63 1y = 54 + -63 Combine like terms: 54 + -63 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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