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Simplifying 3(2y + -5) + 2(3y + 6) + -2 = 0 Reorder the terms: 3(-5 + 2y) + 2(3y + 6) + -2 = 0 (-5 * 3 + 2y * 3) + 2(3y + 6) + -2 = 0 (-15 + 6y) + 2(3y + 6) + -2 = 0 Reorder the terms: -15 + 6y + 2(6 + 3y) + -2 = 0 -15 + 6y + (6 * 2 + 3y * 2) + -2 = 0 -15 + 6y + (12 + 6y) + -2 = 0 Reorder the terms: -15 + 12 + -2 + 6y + 6y = 0 Combine like terms: -15 + 12 = -3 -3 + -2 + 6y + 6y = 0 Combine like terms: -3 + -2 = -5 -5 + 6y + 6y = 0 Combine like terms: 6y + 6y = 12y -5 + 12y = 0 Solving -5 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12y = 0 + 5 12y = 0 + 5 Combine like terms: 0 + 5 = 5 12y = 5 Divide each side by '12'. y = 0.4166666667 Simplifying y = 0.4166666667
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