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Simplifying 2(6y + -8) + -1(9y + 7) = 0 Reorder the terms: 2(-8 + 6y) + -1(9y + 7) = 0 (-8 * 2 + 6y * 2) + -1(9y + 7) = 0 (-16 + 12y) + -1(9y + 7) = 0 Reorder the terms: -16 + 12y + -1(7 + 9y) = 0 -16 + 12y + (7 * -1 + 9y * -1) = 0 -16 + 12y + (-7 + -9y) = 0 Reorder the terms: -16 + -7 + 12y + -9y = 0 Combine like terms: -16 + -7 = -23 -23 + 12y + -9y = 0 Combine like terms: 12y + -9y = 3y -23 + 3y = 0 Solving -23 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 3y = 0 + 23 3y = 0 + 23 Combine like terms: 0 + 23 = 23 3y = 23 Divide each side by '3'. y = 7.666666667 Simplifying y = 7.666666667
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