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Simplifying 9y + 49 = 4(y + 6) Reorder the terms: 49 + 9y = 4(y + 6) Reorder the terms: 49 + 9y = 4(6 + y) 49 + 9y = (6 * 4 + y * 4) 49 + 9y = (24 + 4y) Solving 49 + 9y = 24 + 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. 49 + 9y + -4y = 24 + 4y + -4y Combine like terms: 9y + -4y = 5y 49 + 5y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 49 + 5y = 24 + 0 49 + 5y = 24 Add '-49' to each side of the equation. 49 + -49 + 5y = 24 + -49 Combine like terms: 49 + -49 = 0 0 + 5y = 24 + -49 5y = 24 + -49 Combine like terms: 24 + -49 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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