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Simplifying -2y + 4(-3v + -4) = -58 Reorder the terms: -2y + 4(-4 + -3v) = -58 -2y + (-4 * 4 + -3v * 4) = -58 -2y + (-16 + -12v) = -58 Reorder the terms: -16 + -12v + -2y = -58 Solving -16 + -12v + -2y = -58 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -12v + 16 + -2y = -58 + 16 Reorder the terms: -16 + 16 + -12v + -2y = -58 + 16 Combine like terms: -16 + 16 = 0 0 + -12v + -2y = -58 + 16 -12v + -2y = -58 + 16 Combine like terms: -58 + 16 = -42 -12v + -2y = -42 Add '2y' to each side of the equation. -12v + -2y + 2y = -42 + 2y Combine like terms: -2y + 2y = 0 -12v + 0 = -42 + 2y -12v = -42 + 2y Divide each side by '-12'. v = 3.5 + -0.1666666667y Simplifying v = 3.5 + -0.1666666667y
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