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Simplifying -1(3y + -2) + 3(5y + -6) = 0 Reorder the terms: -1(-2 + 3y) + 3(5y + -6) = 0 (-2 * -1 + 3y * -1) + 3(5y + -6) = 0 (2 + -3y) + 3(5y + -6) = 0 Reorder the terms: 2 + -3y + 3(-6 + 5y) = 0 2 + -3y + (-6 * 3 + 5y * 3) = 0 2 + -3y + (-18 + 15y) = 0 Reorder the terms: 2 + -18 + -3y + 15y = 0 Combine like terms: 2 + -18 = -16 -16 + -3y + 15y = 0 Combine like terms: -3y + 15y = 12y -16 + 12y = 0 Solving -16 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 12y = 0 + 16 12y = 0 + 16 Combine like terms: 0 + 16 = 16 12y = 16 Divide each side by '12'. y = 1.333333333 Simplifying y = 1.333333333
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