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Simplifying 7(4 + y) = 6(9 + y) (4 * 7 + y * 7) = 6(9 + y) (28 + 7y) = 6(9 + y) 28 + 7y = (9 * 6 + y * 6) 28 + 7y = (54 + 6y) Solving 28 + 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. 28 + 7y + -6y = 54 + 6y + -6y Combine like terms: 7y + -6y = 1y 28 + 1y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 28 + 1y = 54 + 0 28 + 1y = 54 Add '-28' to each side of the equation. 28 + -28 + 1y = 54 + -28 Combine like terms: 28 + -28 = 0 0 + 1y = 54 + -28 1y = 54 + -28 Combine like terms: 54 + -28 = 26 1y = 26 Divide each side by '1'. y = 26 Simplifying y = 26
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