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Simplifying 3(y + -8) = 8 + 2y Reorder the terms: 3(-8 + y) = 8 + 2y (-8 * 3 + y * 3) = 8 + 2y (-24 + 3y) = 8 + 2y Solving -24 + 3y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -24 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 1y = 8 + 0 -24 + 1y = 8 Add '24' to each side of the equation. -24 + 24 + 1y = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 1y = 8 + 24 1y = 8 + 24 Combine like terms: 8 + 24 = 32 1y = 32 Divide each side by '1'. y = 32 Simplifying y = 32
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