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Simplifying 5(y + -8) = 8y + -16 Reorder the terms: 5(-8 + y) = 8y + -16 (-8 * 5 + y * 5) = 8y + -16 (-40 + 5y) = 8y + -16 Reorder the terms: -40 + 5y = -16 + 8y Solving -40 + 5y = -16 + 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 = -16 + 8y + -8y Combine like terms: 5y + -8y = -3y -40 + -3y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -40 + -3y = -16 + 0 -40 + -3y = -16 Add '40' to each side of the equation. -40 + 40 + -3y = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -3y = -16 + 40 -3y = -16 + 40 Combine like terms: -16 + 40 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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