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Simplifying 7y + 49 = 9(y + 7) Reorder the terms: 49 + 7y = 9(y + 7) Reorder the terms: 49 + 7y = 9(7 + y) 49 + 7y = (7 * 9 + y * 9) 49 + 7y = (63 + 9y) Solving 49 + 7y = 63 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 49 + 7y + -9y = 63 + 9y + -9y Combine like terms: 7y + -9y = -2y 49 + -2y = 63 + 9y + -9y Combine like terms: 9y + -9y = 0 49 + -2y = 63 + 0 49 + -2y = 63 Add '-49' to each side of the equation. 49 + -49 + -2y = 63 + -49 Combine like terms: 49 + -49 = 0 0 + -2y = 63 + -49 -2y = 63 + -49 Combine like terms: 63 + -49 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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