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Simplifying (4y + 25) + (3y + 20) = 100 Reorder the terms: (25 + 4y) + (3y + 20) = 100 Remove parenthesis around (25 + 4y) 25 + 4y + (3y + 20) = 100 Reorder the terms: 25 + 4y + (20 + 3y) = 100 Remove parenthesis around (20 + 3y) 25 + 4y + 20 + 3y = 100 Reorder the terms: 25 + 20 + 4y + 3y = 100 Combine like terms: 25 + 20 = 45 45 + 4y + 3y = 100 Combine like terms: 4y + 3y = 7y 45 + 7y = 100 Solving 45 + 7y = 100 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 + 7y = 100 + -45 Combine like terms: 45 + -45 = 0 0 + 7y = 100 + -45 7y = 100 + -45 Combine like terms: 100 + -45 = 55 7y = 55 Divide each side by '7'. y = 7.857142857 Simplifying y = 7.857142857
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