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Simplifying 0 = 6 + y + -4(3 + y) 0 = 6 + y + (3 * -4 + y * -4) 0 = 6 + y + (-12 + -4y) Reorder the terms: 0 = 6 + -12 + y + -4y Combine like terms: 6 + -12 = -6 0 = -6 + y + -4y Combine like terms: y + -4y = -3y 0 = -6 + -3y Solving 0 = -6 + -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. 0 + 3y = -6 + -3y + 3y Remove the zero: 3y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 3y = -6 + 0 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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