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Simplifying 9(y + 5) = y + 45 Reorder the terms: 9(5 + y) = y + 45 (5 * 9 + y * 9) = y + 45 (45 + 9y) = y + 45 Reorder the terms: 45 + 9y = 45 + y Add '-45' to each side of the equation. 45 + -45 + 9y = 45 + -45 + y Combine like terms: 45 + -45 = 0 0 + 9y = 45 + -45 + y 9y = 45 + -45 + y Combine like terms: 45 + -45 = 0 9y = 0 + y 9y = y Solving 9y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 9y + -1y = y + -1y Combine like terms: 9y + -1y = 8y 8y = y + -1y Combine like terms: y + -1y = 0 8y = 0 Divide each side by '8'. y = 0 Simplifying y = 0
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