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Simplifying 7y + 6(3y + 7) = 3y + 64 Reorder the terms: 7y + 6(7 + 3y) = 3y + 64 7y + (7 * 6 + 3y * 6) = 3y + 64 7y + (42 + 18y) = 3y + 64 Reorder the terms: 42 + 7y + 18y = 3y + 64 Combine like terms: 7y + 18y = 25y 42 + 25y = 3y + 64 Reorder the terms: 42 + 25y = 64 + 3y Solving 42 + 25y = 64 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 42 + 25y + -3y = 64 + 3y + -3y Combine like terms: 25y + -3y = 22y 42 + 22y = 64 + 3y + -3y Combine like terms: 3y + -3y = 0 42 + 22y = 64 + 0 42 + 22y = 64 Add '-42' to each side of the equation. 42 + -42 + 22y = 64 + -42 Combine like terms: 42 + -42 = 0 0 + 22y = 64 + -42 22y = 64 + -42 Combine like terms: 64 + -42 = 22 22y = 22 Divide each side by '22'. y = 1 Simplifying y = 1
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