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Simplifying 2y(3v + -5) = 4y + -3 Reorder the terms: 2y(-5 + 3v) = 4y + -3 (-5 * 2y + 3v * 2y) = 4y + -3 Reorder the terms: (6vy + -10y) = 4y + -3 (6vy + -10y) = 4y + -3 Reorder the terms: 6vy + -10y = -3 + 4y Solving 6vy + -10y = -3 + 4y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10y' to each side of the equation. 6vy + -10y + 10y = -3 + 4y + 10y Combine like terms: -10y + 10y = 0 6vy + 0 = -3 + 4y + 10y 6vy = -3 + 4y + 10y Combine like terms: 4y + 10y = 14y 6vy = -3 + 14y Divide each side by '6y'. v = -0.5y-1 + 2.333333333 Simplifying v = -0.5y-1 + 2.333333333 Reorder the terms: v = 2.333333333 + -0.5y-1
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