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