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Simplifying -5y + 31 = 6(y + -4) Reorder the terms: 31 + -5y = 6(y + -4) Reorder the terms: 31 + -5y = 6(-4 + y) 31 + -5y = (-4 * 6 + y * 6) 31 + -5y = (-24 + 6y) Solving 31 + -5y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 31 + -5y + -6y = -24 + 6y + -6y Combine like terms: -5y + -6y = -11y 31 + -11y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 31 + -11y = -24 + 0 31 + -11y = -24 Add '-31' to each side of the equation. 31 + -31 + -11y = -24 + -31 Combine like terms: 31 + -31 = 0 0 + -11y = -24 + -31 -11y = -24 + -31 Combine like terms: -24 + -31 = -55 -11y = -55 Divide each side by '-11'. y = 5 Simplifying y = 5
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