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Simplifying 7(y + -3) = 5y + -31 Reorder the terms: 7(-3 + y) = 5y + -31 (-3 * 7 + y * 7) = 5y + -31 (-21 + 7y) = 5y + -31 Reorder the terms: -21 + 7y = -31 + 5y Solving -21 + 7y = -31 + 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. -21 + 7y + -5y = -31 + 5y + -5y Combine like terms: 7y + -5y = 2y -21 + 2y = -31 + 5y + -5y Combine like terms: 5y + -5y = 0 -21 + 2y = -31 + 0 -21 + 2y = -31 Add '21' to each side of the equation. -21 + 21 + 2y = -31 + 21 Combine like terms: -21 + 21 = 0 0 + 2y = -31 + 21 2y = -31 + 21 Combine like terms: -31 + 21 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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