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Simplifying 6 = 3(y + -4) + -6y Reorder the terms: 6 = 3(-4 + y) + -6y 6 = (-4 * 3 + y * 3) + -6y 6 = (-12 + 3y) + -6y Combine like terms: 3y + -6y = -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 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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