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Simplifying 45(y + 15) = 18(y + 45) Reorder the terms: 45(15 + y) = 18(y + 45) (15 * 45 + y * 45) = 18(y + 45) (675 + 45y) = 18(y + 45) Reorder the terms: 675 + 45y = 18(45 + y) 675 + 45y = (45 * 18 + y * 18) 675 + 45y = (810 + 18y) Solving 675 + 45y = 810 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 675 + 45y + -18y = 810 + 18y + -18y Combine like terms: 45y + -18y = 27y 675 + 27y = 810 + 18y + -18y Combine like terms: 18y + -18y = 0 675 + 27y = 810 + 0 675 + 27y = 810 Add '-675' to each side of the equation. 675 + -675 + 27y = 810 + -675 Combine like terms: 675 + -675 = 0 0 + 27y = 810 + -675 27y = 810 + -675 Combine like terms: 810 + -675 = 135 27y = 135 Divide each side by '27'. y = 5 Simplifying y = 5
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