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Simplifying 11(3y + -2) = 5(6y + -5) Reorder the terms: 11(-2 + 3y) = 5(6y + -5) (-2 * 11 + 3y * 11) = 5(6y + -5) (-22 + 33y) = 5(6y + -5) Reorder the terms: -22 + 33y = 5(-5 + 6y) -22 + 33y = (-5 * 5 + 6y * 5) -22 + 33y = (-25 + 30y) Solving -22 + 33y = -25 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -22 + 33y + -30y = -25 + 30y + -30y Combine like terms: 33y + -30y = 3y -22 + 3y = -25 + 30y + -30y Combine like terms: 30y + -30y = 0 -22 + 3y = -25 + 0 -22 + 3y = -25 Add '22' to each side of the equation. -22 + 22 + 3y = -25 + 22 Combine like terms: -22 + 22 = 0 0 + 3y = -25 + 22 3y = -25 + 22 Combine like terms: -25 + 22 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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