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Simplifying 7(y + -1) = 3y + -31 Reorder the terms: 7(-1 + y) = 3y + -31 (-1 * 7 + y * 7) = 3y + -31 (-7 + 7y) = 3y + -31 Reorder the terms: -7 + 7y = -31 + 3y Solving -7 + 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. -7 + 7y + -3y = -31 + 3y + -3y Combine like terms: 7y + -3y = 4y -7 + 4y = -31 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 4y = -31 + 0 -7 + 4y = -31 Add '7' to each side of the equation. -7 + 7 + 4y = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = -31 + 7 4y = -31 + 7 Combine like terms: -31 + 7 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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