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Simplifying 7(y + 5) = -7y + -49 Reorder the terms: 7(5 + y) = -7y + -49 (5 * 7 + y * 7) = -7y + -49 (35 + 7y) = -7y + -49 Reorder the terms: 35 + 7y = -49 + -7y Solving 35 + 7y = -49 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 35 + 7y + 7y = -49 + -7y + 7y Combine like terms: 7y + 7y = 14y 35 + 14y = -49 + -7y + 7y Combine like terms: -7y + 7y = 0 35 + 14y = -49 + 0 35 + 14y = -49 Add '-35' to each side of the equation. 35 + -35 + 14y = -49 + -35 Combine like terms: 35 + -35 = 0 0 + 14y = -49 + -35 14y = -49 + -35 Combine like terms: -49 + -35 = -84 14y = -84 Divide each side by '14'. y = -6 Simplifying y = -6
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