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Simplifying -31 = -7y + 2(y + 2) Reorder the terms: -31 = -7y + 2(2 + y) -31 = -7y + (2 * 2 + y * 2) -31 = -7y + (4 + 2y) Reorder the terms: -31 = 4 + -7y + 2y Combine like terms: -7y + 2y = -5y -31 = 4 + -5y Solving -31 = 4 + -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. -31 + 5y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 -31 + 5y = 4 + 0 -31 + 5y = 4 Add '31' to each side of the equation. -31 + 31 + 5y = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 5y = 4 + 31 5y = 4 + 31 Combine like terms: 4 + 31 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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