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Simplifying 2(3y + -8) + -3(y + -7) = 0 Reorder the terms: 2(-8 + 3y) + -3(y + -7) = 0 (-8 * 2 + 3y * 2) + -3(y + -7) = 0 (-16 + 6y) + -3(y + -7) = 0 Reorder the terms: -16 + 6y + -3(-7 + y) = 0 -16 + 6y + (-7 * -3 + y * -3) = 0 -16 + 6y + (21 + -3y) = 0 Reorder the terms: -16 + 21 + 6y + -3y = 0 Combine like terms: -16 + 21 = 5 5 + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y 5 + 3y = 0 Solving 5 + 3y = 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 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667
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