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Simplifying (12y + 7) + -1(3y + 6) = 0 Reorder the terms: (7 + 12y) + -1(3y + 6) = 0 Remove parenthesis around (7 + 12y) 7 + 12y + -1(3y + 6) = 0 Reorder the terms: 7 + 12y + -1(6 + 3y) = 0 7 + 12y + (6 * -1 + 3y * -1) = 0 7 + 12y + (-6 + -3y) = 0 Reorder the terms: 7 + -6 + 12y + -3y = 0 Combine like terms: 7 + -6 = 1 1 + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y 1 + 9y = 0 Solving 1 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 0 + -1 9y = 0 + -1 Combine like terms: 0 + -1 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111
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