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Simplifying -7(y + 7) = 3y + 31 Reorder the terms: -7(7 + y) = 3y + 31 (7 * -7 + y * -7) = 3y + 31 (-49 + -7y) = 3y + 31 Reorder the terms: -49 + -7y = 31 + 3y Solving -49 + -7y = 31 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -49 + -7y + -3y = 31 + 3y + -3y Combine like terms: -7y + -3y = -10y -49 + -10y = 31 + 3y + -3y Combine like terms: 3y + -3y = 0 -49 + -10y = 31 + 0 -49 + -10y = 31 Add '49' to each side of the equation. -49 + 49 + -10y = 31 + 49 Combine like terms: -49 + 49 = 0 0 + -10y = 31 + 49 -10y = 31 + 49 Combine like terms: 31 + 49 = 80 -10y = 80 Divide each side by '-10'. y = -8 Simplifying y = -8
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