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Simplifying 4y + -31 = -5(y + 8) Reorder the terms: -31 + 4y = -5(y + 8) Reorder the terms: -31 + 4y = -5(8 + y) -31 + 4y = (8 * -5 + y * -5) -31 + 4y = (-40 + -5y) Solving -31 + 4y = -40 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -31 + 4y + 5y = -40 + -5y + 5y Combine like terms: 4y + 5y = 9y -31 + 9y = -40 + -5y + 5y Combine like terms: -5y + 5y = 0 -31 + 9y = -40 + 0 -31 + 9y = -40 Add '31' to each side of the equation. -31 + 31 + 9y = -40 + 31 Combine like terms: -31 + 31 = 0 0 + 9y = -40 + 31 9y = -40 + 31 Combine like terms: -40 + 31 = -9 9y = -9 Divide each side by '9'. y = -1 Simplifying y = -1
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