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Simplifying 9y + -24 = -3(y + -8) Reorder the terms: -24 + 9y = -3(y + -8) Reorder the terms: -24 + 9y = -3(-8 + y) -24 + 9y = (-8 * -3 + y * -3) -24 + 9y = (24 + -3y) Solving -24 + 9y = 24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -24 + 9y + 3y = 24 + -3y + 3y Combine like terms: 9y + 3y = 12y -24 + 12y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 12y = 24 + 0 -24 + 12y = 24 Add '24' to each side of the equation. -24 + 24 + 12y = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 12y = 24 + 24 12y = 24 + 24 Combine like terms: 24 + 24 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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