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Simplifying 5(y + 9) = 4y Reorder the terms: 5(9 + y) = 4y (9 * 5 + y * 5) = 4y (45 + 5y) = 4y Solving 45 + 5y = 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. 45 + 5y + -4y = 4y + -4y Combine like terms: 5y + -4y = 1y 45 + 1y = 4y + -4y Combine like terms: 4y + -4y = 0 45 + 1y = 0 Add '-45' to each side of the equation. 45 + -45 + 1y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 1y = 0 + -45 1y = 0 + -45 Combine like terms: 0 + -45 = -45 1y = -45 Divide each side by '1'. y = -45 Simplifying y = -45
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