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Simplifying 9y + 45 = 4(y + 5) Reorder the terms: 45 + 9y = 4(y + 5) Reorder the terms: 45 + 9y = 4(5 + y) 45 + 9y = (5 * 4 + y * 4) 45 + 9y = (20 + 4y) Solving 45 + 9y = 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. 45 + 9y + -4y = 20 + 4y + -4y Combine like terms: 9y + -4y = 5y 45 + 5y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 45 + 5y = 20 + 0 45 + 5y = 20 Add '-45' to each side of the equation. 45 + -45 + 5y = 20 + -45 Combine like terms: 45 + -45 = 0 0 + 5y = 20 + -45 5y = 20 + -45 Combine like terms: 20 + -45 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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