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Simplifying 3(y + -8) = -4y + 32 Reorder the terms: 3(-8 + y) = -4y + 32 (-8 * 3 + y * 3) = -4y + 32 (-24 + 3y) = -4y + 32 Reorder the terms: -24 + 3y = 32 + -4y Solving -24 + 3y = 32 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -24 + 3y + 4y = 32 + -4y + 4y Combine like terms: 3y + 4y = 7y -24 + 7y = 32 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + 7y = 32 + 0 -24 + 7y = 32 Add '24' to each side of the equation. -24 + 24 + 7y = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 32 + 24 7y = 32 + 24 Combine like terms: 32 + 24 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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