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Simplifying (6y + 3) + -1(3y + 1) = 0 Reorder the terms: (3 + 6y) + -1(3y + 1) = 0 Remove parenthesis around (3 + 6y) 3 + 6y + -1(3y + 1) = 0 Reorder the terms: 3 + 6y + -1(1 + 3y) = 0 3 + 6y + (1 * -1 + 3y * -1) = 0 3 + 6y + (-1 + -3y) = 0 Reorder the terms: 3 + -1 + 6y + -3y = 0 Combine like terms: 3 + -1 = 2 2 + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667
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