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Simplifying 8(y + -3) = 5y + -33 Reorder the terms: 8(-3 + y) = 5y + -33 (-3 * 8 + y * 8) = 5y + -33 (-24 + 8y) = 5y + -33 Reorder the terms: -24 + 8y = -33 + 5y Solving -24 + 8y = -33 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + 8y + -5y = -33 + 5y + -5y Combine like terms: 8y + -5y = 3y -24 + 3y = -33 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 3y = -33 + 0 -24 + 3y = -33 Add '24' to each side of the equation. -24 + 24 + 3y = -33 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = -33 + 24 3y = -33 + 24 Combine like terms: -33 + 24 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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