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Simplifying -7(y + 5) = 5y + 49 Reorder the terms: -7(5 + y) = 5y + 49 (5 * -7 + y * -7) = 5y + 49 (-35 + -7y) = 5y + 49 Reorder the terms: -35 + -7y = 49 + 5y Solving -35 + -7y = 49 + 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. -35 + -7y + -5y = 49 + 5y + -5y Combine like terms: -7y + -5y = -12y -35 + -12y = 49 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 + -12y = 49 + 0 -35 + -12y = 49 Add '35' to each side of the equation. -35 + 35 + -12y = 49 + 35 Combine like terms: -35 + 35 = 0 0 + -12y = 49 + 35 -12y = 49 + 35 Combine like terms: 49 + 35 = 84 -12y = 84 Divide each side by '-12'. y = -7 Simplifying y = -7
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