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Simplifying (3y + 12) + -1(-12y + -6) = 0 Reorder the terms: (12 + 3y) + -1(-12y + -6) = 0 Remove parenthesis around (12 + 3y) 12 + 3y + -1(-12y + -6) = 0 Reorder the terms: 12 + 3y + -1(-6 + -12y) = 0 12 + 3y + (-6 * -1 + -12y * -1) = 0 12 + 3y + (6 + 12y) = 0 Reorder the terms: 12 + 6 + 3y + 12y = 0 Combine like terms: 12 + 6 = 18 18 + 3y + 12y = 0 Combine like terms: 3y + 12y = 15y 18 + 15y = 0 Solving 18 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 15y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 15y = 0 + -18 15y = 0 + -18 Combine like terms: 0 + -18 = -18 15y = -18 Divide each side by '15'. y = -1.2 Simplifying y = -1.2
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