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Simplifying -31 = 7(y + 3) + 6y Reorder the terms: -31 = 7(3 + y) + 6y -31 = (3 * 7 + y * 7) + 6y -31 = (21 + 7y) + 6y Combine like terms: 7y + 6y = 13y -31 = 21 + 13y Solving -31 = 21 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -31 + -13y = 21 + 13y + -13y Combine like terms: 13y + -13y = 0 -31 + -13y = 21 + 0 -31 + -13y = 21 Add '31' to each side of the equation. -31 + 31 + -13y = 21 + 31 Combine like terms: -31 + 31 = 0 0 + -13y = 21 + 31 -13y = 21 + 31 Combine like terms: 21 + 31 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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