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Simplifying 4(9z + -2) + 8(6y + 5) = 0 Reorder the terms: 4(-2 + 9z) + 8(6y + 5) = 0 (-2 * 4 + 9z * 4) + 8(6y + 5) = 0 (-8 + 36z) + 8(6y + 5) = 0 Reorder the terms: -8 + 36z + 8(5 + 6y) = 0 -8 + 36z + (5 * 8 + 6y * 8) = 0 -8 + 36z + (40 + 48y) = 0 Reorder the terms: -8 + 40 + 48y + 36z = 0 Combine like terms: -8 + 40 = 32 32 + 48y + 36z = 0 Solving 32 + 48y + 36z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 48y + -32 + 36z = 0 + -32 Reorder the terms: 32 + -32 + 48y + 36z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 48y + 36z = 0 + -32 48y + 36z = 0 + -32 Combine like terms: 0 + -32 = -32 48y + 36z = -32 Add '-36z' to each side of the equation. 48y + 36z + -36z = -32 + -36z Combine like terms: 36z + -36z = 0 48y + 0 = -32 + -36z 48y = -32 + -36z Divide each side by '48'. y = -0.6666666667 + -0.75z Simplifying y = -0.6666666667 + -0.75z
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