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Simplifying 7(y + 2) = 4(y + 5) Reorder the terms: 7(2 + y) = 4(y + 5) (2 * 7 + y * 7) = 4(y + 5) (14 + 7y) = 4(y + 5) Reorder the terms: 14 + 7y = 4(5 + y) 14 + 7y = (5 * 4 + y * 4) 14 + 7y = (20 + 4y) Solving 14 + 7y = 20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 14 + 7y + -4y = 20 + 4y + -4y Combine like terms: 7y + -4y = 3y 14 + 3y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + 3y = 20 + 0 14 + 3y = 20 Add '-14' to each side of the equation. 14 + -14 + 3y = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3y = 20 + -14 3y = 20 + -14 Combine like terms: 20 + -14 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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