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Simplifying 9y + -31 = -2(y + -1) Reorder the terms: -31 + 9y = -2(y + -1) Reorder the terms: -31 + 9y = -2(-1 + y) -31 + 9y = (-1 * -2 + y * -2) -31 + 9y = (2 + -2y) Solving -31 + 9y = 2 + -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 + 9y + 2y = 2 + -2y + 2y Combine like terms: 9y + 2y = 11y -31 + 11y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -31 + 11y = 2 + 0 -31 + 11y = 2 Add '31' to each side of the equation. -31 + 31 + 11y = 2 + 31 Combine like terms: -31 + 31 = 0 0 + 11y = 2 + 31 11y = 2 + 31 Combine like terms: 2 + 31 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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