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Simplifying -33 = 3(y + -5) + 6y Reorder the terms: -33 = 3(-5 + y) + 6y -33 = (-5 * 3 + y * 3) + 6y -33 = (-15 + 3y) + 6y Combine like terms: 3y + 6y = 9y -33 = -15 + 9y Solving -33 = -15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -33 + -9y = -15 + 9y + -9y Combine like terms: 9y + -9y = 0 -33 + -9y = -15 + 0 -33 + -9y = -15 Add '33' to each side of the equation. -33 + 33 + -9y = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -9y = -15 + 33 -9y = -15 + 33 Combine like terms: -15 + 33 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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