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Simplifying 24 = -8(4y + 5) Reorder the terms: 24 = -8(5 + 4y) 24 = (5 * -8 + 4y * -8) 24 = (-40 + -32y) Solving 24 = -40 + -32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32y' to each side of the equation. 24 + 32y = -40 + -32y + 32y Combine like terms: -32y + 32y = 0 24 + 32y = -40 + 0 24 + 32y = -40 Add '-24' to each side of the equation. 24 + -24 + 32y = -40 + -24 Combine like terms: 24 + -24 = 0 0 + 32y = -40 + -24 32y = -40 + -24 Combine like terms: -40 + -24 = -64 32y = -64 Divide each side by '32'. y = -2 Simplifying y = -2
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