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Simplifying 7y + -31 = -2(y + 2) Reorder the terms: -31 + 7y = -2(y + 2) Reorder the terms: -31 + 7y = -2(2 + y) -31 + 7y = (2 * -2 + y * -2) -31 + 7y = (-4 + -2y) Solving -31 + 7y = -4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -31 + 7y + 2y = -4 + -2y + 2y Combine like terms: 7y + 2y = 9y -31 + 9y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 -31 + 9y = -4 + 0 -31 + 9y = -4 Add '31' to each side of the equation. -31 + 31 + 9y = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 9y = -4 + 31 9y = -4 + 31 Combine like terms: -4 + 31 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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