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Simplifying -3y + 33 = -6(y + -2) Reorder the terms: 33 + -3y = -6(y + -2) Reorder the terms: 33 + -3y = -6(-2 + y) 33 + -3y = (-2 * -6 + y * -6) 33 + -3y = (12 + -6y) Solving 33 + -3y = 12 + -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. 33 + -3y + 6y = 12 + -6y + 6y Combine like terms: -3y + 6y = 3y 33 + 3y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 33 + 3y = 12 + 0 33 + 3y = 12 Add '-33' to each side of the equation. 33 + -33 + 3y = 12 + -33 Combine like terms: 33 + -33 = 0 0 + 3y = 12 + -33 3y = 12 + -33 Combine like terms: 12 + -33 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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