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Simplifying 7(y + 7) = -5y + -35 Reorder the terms: 7(7 + y) = -5y + -35 (7 * 7 + y * 7) = -5y + -35 (49 + 7y) = -5y + -35 Reorder the terms: 49 + 7y = -35 + -5y Solving 49 + 7y = -35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 49 + 7y + 5y = -35 + -5y + 5y Combine like terms: 7y + 5y = 12y 49 + 12y = -35 + -5y + 5y Combine like terms: -5y + 5y = 0 49 + 12y = -35 + 0 49 + 12y = -35 Add '-49' to each side of the equation. 49 + -49 + 12y = -35 + -49 Combine like terms: 49 + -49 = 0 0 + 12y = -35 + -49 12y = -35 + -49 Combine like terms: -35 + -49 = -84 12y = -84 Divide each side by '12'. y = -7 Simplifying y = -7
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