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Simplifying -3(y + -5) = -6y + 33 Reorder the terms: -3(-5 + y) = -6y + 33 (-5 * -3 + y * -3) = -6y + 33 (15 + -3y) = -6y + 33 Reorder the terms: 15 + -3y = 33 + -6y Solving 15 + -3y = 33 + -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. 15 + -3y + 6y = 33 + -6y + 6y Combine like terms: -3y + 6y = 3y 15 + 3y = 33 + -6y + 6y Combine like terms: -6y + 6y = 0 15 + 3y = 33 + 0 15 + 3y = 33 Add '-15' to each side of the equation. 15 + -15 + 3y = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 33 + -15 3y = 33 + -15 Combine like terms: 33 + -15 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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