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Simplifying 2(6y + -3) + -1(7y + 9) = 0 Reorder the terms: 2(-3 + 6y) + -1(7y + 9) = 0 (-3 * 2 + 6y * 2) + -1(7y + 9) = 0 (-6 + 12y) + -1(7y + 9) = 0 Reorder the terms: -6 + 12y + -1(9 + 7y) = 0 -6 + 12y + (9 * -1 + 7y * -1) = 0 -6 + 12y + (-9 + -7y) = 0 Reorder the terms: -6 + -9 + 12y + -7y = 0 Combine like terms: -6 + -9 = -15 -15 + 12y + -7y = 0 Combine like terms: 12y + -7y = 5y -15 + 5y = 0 Solving -15 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5y = 0 + 15 5y = 0 + 15 Combine like terms: 0 + 15 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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