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Simplifying 5(y + -7) = -6y + 31 Reorder the terms: 5(-7 + y) = -6y + 31 (-7 * 5 + y * 5) = -6y + 31 (-35 + 5y) = -6y + 31 Reorder the terms: -35 + 5y = 31 + -6y Solving -35 + 5y = 31 + -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. -35 + 5y + 6y = 31 + -6y + 6y Combine like terms: 5y + 6y = 11y -35 + 11y = 31 + -6y + 6y Combine like terms: -6y + 6y = 0 -35 + 11y = 31 + 0 -35 + 11y = 31 Add '35' to each side of the equation. -35 + 35 + 11y = 31 + 35 Combine like terms: -35 + 35 = 0 0 + 11y = 31 + 35 11y = 31 + 35 Combine like terms: 31 + 35 = 66 11y = 66 Divide each side by '11'. y = 6 Simplifying y = 6
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