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Simplifying 3(y + -8) = 6y + -54 Reorder the terms: 3(-8 + y) = 6y + -54 (-8 * 3 + y * 3) = 6y + -54 (-24 + 3y) = 6y + -54 Reorder the terms: -24 + 3y = -54 + 6y Solving -24 + 3y = -54 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -24 + 3y + -6y = -54 + 6y + -6y Combine like terms: 3y + -6y = -3y -24 + -3y = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + -3y = -54 + 0 -24 + -3y = -54 Add '24' to each side of the equation. -24 + 24 + -3y = -54 + 24 Combine like terms: -24 + 24 = 0 0 + -3y = -54 + 24 -3y = -54 + 24 Combine like terms: -54 + 24 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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