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Simplifying 3y + [(y + -2) + -6y] = 0 Reorder the terms: 3y + [(-2 + y) + -6y] = 0 Remove parenthesis around (-2 + y) 3y + [-2 + y + -6y] = 0 Combine like terms: y + -6y = -5y 3y + [-2 + -5y] = 0 Remove brackets around [-2 + -5y] 3y + -2 + -5y = 0 Reorder the terms: -2 + 3y + -5y = 0 Combine like terms: 3y + -5y = -2y -2 + -2y = 0 Solving -2 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2y = 0 + 2 -2y = 0 + 2 Combine like terms: 0 + 2 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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