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Simplifying -31 = 7y + 6(y + -3) Reorder the terms: -31 = 7y + 6(-3 + y) -31 = 7y + (-3 * 6 + y * 6) -31 = 7y + (-18 + 6y) Reorder the terms: -31 = -18 + 7y + 6y Combine like terms: 7y + 6y = 13y -31 = -18 + 13y Solving -31 = -18 + 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 = -18 + 13y + -13y Combine like terms: 13y + -13y = 0 -31 + -13y = -18 + 0 -31 + -13y = -18 Add '31' to each side of the equation. -31 + 31 + -13y = -18 + 31 Combine like terms: -31 + 31 = 0 0 + -13y = -18 + 31 -13y = -18 + 31 Combine like terms: -18 + 31 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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