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Simplifying -3(y + 8) = 9y + 48 Reorder the terms: -3(8 + y) = 9y + 48 (8 * -3 + y * -3) = 9y + 48 (-24 + -3y) = 9y + 48 Reorder the terms: -24 + -3y = 48 + 9y Solving -24 + -3y = 48 + 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. -24 + -3y + -9y = 48 + 9y + -9y Combine like terms: -3y + -9y = -12y -24 + -12y = 48 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -12y = 48 + 0 -24 + -12y = 48 Add '24' to each side of the equation. -24 + 24 + -12y = 48 + 24 Combine like terms: -24 + 24 = 0 0 + -12y = 48 + 24 -12y = 48 + 24 Combine like terms: 48 + 24 = 72 -12y = 72 Divide each side by '-12'. y = -6 Simplifying y = -6
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