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Simplifying 5(y + -8) = 9y + -24 Reorder the terms: 5(-8 + y) = 9y + -24 (-8 * 5 + y * 5) = 9y + -24 (-40 + 5y) = 9y + -24 Reorder the terms: -40 + 5y = -24 + 9y Solving -40 + 5y = -24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -40 + 5y + -9y = -24 + 9y + -9y Combine like terms: 5y + -9y = -4y -40 + -4y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 -40 + -4y = -24 + 0 -40 + -4y = -24 Add '40' to each side of the equation. -40 + 40 + -4y = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -4y = -24 + 40 -4y = -24 + 40 Combine like terms: -24 + 40 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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