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Simplifying 8(y + -3) = 3y + -54 Reorder the terms: 8(-3 + y) = 3y + -54 (-3 * 8 + y * 8) = 3y + -54 (-24 + 8y) = 3y + -54 Reorder the terms: -24 + 8y = -54 + 3y Solving -24 + 8y = -54 + 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 + 8y + -3y = -54 + 3y + -3y Combine like terms: 8y + -3y = 5y -24 + 5y = -54 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 5y = -54 + 0 -24 + 5y = -54 Add '24' to each side of the equation. -24 + 24 + 5y = -54 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = -54 + 24 5y = -54 + 24 Combine like terms: -54 + 24 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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