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Simplifying 5(2y + -4) + -2(3v + 2) = -4 Reorder the terms: 5(-4 + 2y) + -2(3v + 2) = -4 (-4 * 5 + 2y * 5) + -2(3v + 2) = -4 (-20 + 10y) + -2(3v + 2) = -4 Reorder the terms: -20 + 10y + -2(2 + 3v) = -4 -20 + 10y + (2 * -2 + 3v * -2) = -4 -20 + 10y + (-4 + -6v) = -4 Reorder the terms: -20 + -4 + -6v + 10y = -4 Combine like terms: -20 + -4 = -24 -24 + -6v + 10y = -4 Solving -24 + -6v + 10y = -4 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -6v + 24 + 10y = -4 + 24 Reorder the terms: -24 + 24 + -6v + 10y = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -6v + 10y = -4 + 24 -6v + 10y = -4 + 24 Combine like terms: -4 + 24 = 20 -6v + 10y = 20 Add '-10y' to each side of the equation. -6v + 10y + -10y = 20 + -10y Combine like terms: 10y + -10y = 0 -6v + 0 = 20 + -10y -6v = 20 + -10y Divide each side by '-6'. v = -3.333333333 + 1.666666667y Simplifying v = -3.333333333 + 1.666666667y
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