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Simplifying 5(y + -8) = -8y + 38 Reorder the terms: 5(-8 + y) = -8y + 38 (-8 * 5 + y * 5) = -8y + 38 (-40 + 5y) = -8y + 38 Reorder the terms: -40 + 5y = 38 + -8y Solving -40 + 5y = 38 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -40 + 5y + 8y = 38 + -8y + 8y Combine like terms: 5y + 8y = 13y -40 + 13y = 38 + -8y + 8y Combine like terms: -8y + 8y = 0 -40 + 13y = 38 + 0 -40 + 13y = 38 Add '40' to each side of the equation. -40 + 40 + 13y = 38 + 40 Combine like terms: -40 + 40 = 0 0 + 13y = 38 + 40 13y = 38 + 40 Combine like terms: 38 + 40 = 78 13y = 78 Divide each side by '13'. y = 6 Simplifying y = 6
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