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Simplifying -3(4y + -6) + 2(3y + 5) = 0 Reorder the terms: -3(-6 + 4y) + 2(3y + 5) = 0 (-6 * -3 + 4y * -3) + 2(3y + 5) = 0 (18 + -12y) + 2(3y + 5) = 0 Reorder the terms: 18 + -12y + 2(5 + 3y) = 0 18 + -12y + (5 * 2 + 3y * 2) = 0 18 + -12y + (10 + 6y) = 0 Reorder the terms: 18 + 10 + -12y + 6y = 0 Combine like terms: 18 + 10 = 28 28 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 28 + -6y = 0 Solving 28 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -6y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -6y = 0 + -28 -6y = 0 + -28 Combine like terms: 0 + -28 = -28 -6y = -28 Divide each side by '-6'. y = 4.666666667 Simplifying y = 4.666666667
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