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Simplifying 7(6y + -8) + -1(6y + 9) = 0 Reorder the terms: 7(-8 + 6y) + -1(6y + 9) = 0 (-8 * 7 + 6y * 7) + -1(6y + 9) = 0 (-56 + 42y) + -1(6y + 9) = 0 Reorder the terms: -56 + 42y + -1(9 + 6y) = 0 -56 + 42y + (9 * -1 + 6y * -1) = 0 -56 + 42y + (-9 + -6y) = 0 Reorder the terms: -56 + -9 + 42y + -6y = 0 Combine like terms: -56 + -9 = -65 -65 + 42y + -6y = 0 Combine like terms: 42y + -6y = 36y -65 + 36y = 0 Solving -65 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 36y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 36y = 0 + 65 36y = 0 + 65 Combine like terms: 0 + 65 = 65 36y = 65 Divide each side by '36'. y = 1.805555556 Simplifying y = 1.805555556
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