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Simplifying 8(9 + y) + -6(y + -12) = 0 (9 * 8 + y * 8) + -6(y + -12) = 0 (72 + 8y) + -6(y + -12) = 0 Reorder the terms: 72 + 8y + -6(-12 + y) = 0 72 + 8y + (-12 * -6 + y * -6) = 0 72 + 8y + (72 + -6y) = 0 Reorder the terms: 72 + 72 + 8y + -6y = 0 Combine like terms: 72 + 72 = 144 144 + 8y + -6y = 0 Combine like terms: 8y + -6y = 2y 144 + 2y = 0 Solving 144 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + 2y = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 2y = 0 + -144 2y = 0 + -144 Combine like terms: 0 + -144 = -144 2y = -144 Divide each side by '2'. y = -72 Simplifying y = -72
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