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Simplifying 5(4y + 9) + 6y = 97 Reorder the terms: 5(9 + 4y) + 6y = 97 (9 * 5 + 4y * 5) + 6y = 97 (45 + 20y) + 6y = 97 Combine like terms: 20y + 6y = 26y 45 + 26y = 97 Solving 45 + 26y = 97 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 26y = 97 + -45 Combine like terms: 45 + -45 = 0 0 + 26y = 97 + -45 26y = 97 + -45 Combine like terms: 97 + -45 = 52 26y = 52 Divide each side by '26'. y = 2 Simplifying y = 2
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