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Simplifying 6(v + -2) + 2 = 2(3y + -5) Reorder the terms: 6(-2 + v) + 2 = 2(3y + -5) (-2 * 6 + v * 6) + 2 = 2(3y + -5) (-12 + 6v) + 2 = 2(3y + -5) Reorder the terms: -12 + 2 + 6v = 2(3y + -5) Combine like terms: -12 + 2 = -10 -10 + 6v = 2(3y + -5) Reorder the terms: -10 + 6v = 2(-5 + 3y) -10 + 6v = (-5 * 2 + 3y * 2) -10 + 6v = (-10 + 6y) Add '10' to each side of the equation. -10 + 10 + 6v = -10 + 10 + 6y Combine like terms: -10 + 10 = 0 0 + 6v = -10 + 10 + 6y 6v = -10 + 10 + 6y Combine like terms: -10 + 10 = 0 6v = 0 + 6y 6v = 6y Solving 6v = 6y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '6'. v = y Simplifying v = y
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