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Simplifying -31 = 7y + 4(y + -5) Reorder the terms: -31 = 7y + 4(-5 + y) -31 = 7y + (-5 * 4 + y * 4) -31 = 7y + (-20 + 4y) Reorder the terms: -31 = -20 + 7y + 4y Combine like terms: 7y + 4y = 11y -31 = -20 + 11y Solving -31 = -20 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -31 + -11y = -20 + 11y + -11y Combine like terms: 11y + -11y = 0 -31 + -11y = -20 + 0 -31 + -11y = -20 Add '31' to each side of the equation. -31 + 31 + -11y = -20 + 31 Combine like terms: -31 + 31 = 0 0 + -11y = -20 + 31 -11y = -20 + 31 Combine like terms: -20 + 31 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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