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