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Simplifying -7(y + -7) = -9y + 41 Reorder the terms: -7(-7 + y) = -9y + 41 (-7 * -7 + y * -7) = -9y + 41 (49 + -7y) = -9y + 41 Reorder the terms: 49 + -7y = 41 + -9y Solving 49 + -7y = 41 + -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 = 41 + -9y + 9y Combine like terms: -7y + 9y = 2y 49 + 2y = 41 + -9y + 9y Combine like terms: -9y + 9y = 0 49 + 2y = 41 + 0 49 + 2y = 41 Add '-49' to each side of the equation. 49 + -49 + 2y = 41 + -49 Combine like terms: 49 + -49 = 0 0 + 2y = 41 + -49 2y = 41 + -49 Combine like terms: 41 + -49 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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