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Simplifying 3(y + -4) + -6 = -4(-6v + 6) + -6v Reorder the terms: 3(-4 + y) + -6 = -4(-6v + 6) + -6v (-4 * 3 + y * 3) + -6 = -4(-6v + 6) + -6v (-12 + 3y) + -6 = -4(-6v + 6) + -6v Reorder the terms: -12 + -6 + 3y = -4(-6v + 6) + -6v Combine like terms: -12 + -6 = -18 -18 + 3y = -4(-6v + 6) + -6v Reorder the terms: -18 + 3y = -4(6 + -6v) + -6v -18 + 3y = (6 * -4 + -6v * -4) + -6v -18 + 3y = (-24 + 24v) + -6v Combine like terms: 24v + -6v = 18v -18 + 3y = -24 + 18v Solving -18 + 3y = -24 + 18v Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3y = -24 + 18 + 18v Combine like terms: -18 + 18 = 0 0 + 3y = -24 + 18 + 18v 3y = -24 + 18 + 18v Combine like terms: -24 + 18 = -6 3y = -6 + 18v Divide each side by '3'. y = -2 + 6v Simplifying y = -2 + 6v
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