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Simplifying 33(y + -2) = 6(y + -1) + -3y Reorder the terms: 33(-2 + y) = 6(y + -1) + -3y (-2 * 33 + y * 33) = 6(y + -1) + -3y (-66 + 33y) = 6(y + -1) + -3y Reorder the terms: -66 + 33y = 6(-1 + y) + -3y -66 + 33y = (-1 * 6 + y * 6) + -3y -66 + 33y = (-6 + 6y) + -3y Combine like terms: 6y + -3y = 3y -66 + 33y = -6 + 3y Solving -66 + 33y = -6 + 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. -66 + 33y + -3y = -6 + 3y + -3y Combine like terms: 33y + -3y = 30y -66 + 30y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -66 + 30y = -6 + 0 -66 + 30y = -6 Add '66' to each side of the equation. -66 + 66 + 30y = -6 + 66 Combine like terms: -66 + 66 = 0 0 + 30y = -6 + 66 30y = -6 + 66 Combine like terms: -6 + 66 = 60 30y = 60 Divide each side by '30'. y = 2 Simplifying y = 2
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