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Simplifying 7(4y + -5) = 11(2y + -1) Reorder the terms: 7(-5 + 4y) = 11(2y + -1) (-5 * 7 + 4y * 7) = 11(2y + -1) (-35 + 28y) = 11(2y + -1) Reorder the terms: -35 + 28y = 11(-1 + 2y) -35 + 28y = (-1 * 11 + 2y * 11) -35 + 28y = (-11 + 22y) Solving -35 + 28y = -11 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -35 + 28y + -22y = -11 + 22y + -22y Combine like terms: 28y + -22y = 6y -35 + 6y = -11 + 22y + -22y Combine like terms: 22y + -22y = 0 -35 + 6y = -11 + 0 -35 + 6y = -11 Add '35' to each side of the equation. -35 + 35 + 6y = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 6y = -11 + 35 6y = -11 + 35 Combine like terms: -11 + 35 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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