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Simplifying -5(y + 6) = -8y + -33 Reorder the terms: -5(6 + y) = -8y + -33 (6 * -5 + y * -5) = -8y + -33 (-30 + -5y) = -8y + -33 Reorder the terms: -30 + -5y = -33 + -8y Solving -30 + -5y = -33 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -30 + -5y + 8y = -33 + -8y + 8y Combine like terms: -5y + 8y = 3y -30 + 3y = -33 + -8y + 8y Combine like terms: -8y + 8y = 0 -30 + 3y = -33 + 0 -30 + 3y = -33 Add '30' to each side of the equation. -30 + 30 + 3y = -33 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = -33 + 30 3y = -33 + 30 Combine like terms: -33 + 30 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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