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Simplifying 6y + -7 = -31 + 3y Reorder the terms: -7 + 6y = -31 + 3y Solving -7 + 6y = -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 + 6y + -3y = -31 + 3y + -3y Combine like terms: 6y + -3y = 3y -7 + 3y = -31 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 3y = -31 + 0 -7 + 3y = -31 Add '7' to each side of the equation. -7 + 7 + 3y = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = -31 + 7 3y = -31 + 7 Combine like terms: -31 + 7 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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