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Simplifying z(y + 5) + -7(y + 5) = 0 Reorder the terms: z(5 + y) + -7(y + 5) = 0 (5 * z + y * z) + -7(y + 5) = 0 Reorder the terms: (yz + 5z) + -7(y + 5) = 0 (yz + 5z) + -7(y + 5) = 0 Reorder the terms: yz + 5z + -7(5 + y) = 0 yz + 5z + (5 * -7 + y * -7) = 0 yz + 5z + (-35 + -7y) = 0 Reorder the terms: -35 + -7y + yz + 5z = 0 Solving -35 + -7y + yz + 5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -7y + yz + 35 + 5z = 0 + 35 Reorder the terms: -35 + 35 + -7y + yz + 5z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7y + yz + 5z = 0 + 35 -7y + yz + 5z = 0 + 35 Combine like terms: 0 + 35 = 35 -7y + yz + 5z = 35 Add '-5z' to each side of the equation. -7y + yz + 5z + -5z = 35 + -5z Combine like terms: 5z + -5z = 0 -7y + yz + 0 = 35 + -5z -7y + yz = 35 + -5z Reorder the terms: -35 + -7y + yz + 5z = 35 + -5z + -35 + 5z Reorder the terms: -35 + -7y + yz + 5z = 35 + -35 + -5z + 5z Combine like terms: 35 + -35 = 0 -35 + -7y + yz + 5z = 0 + -5z + 5z -35 + -7y + yz + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 -35 + -7y + yz + 5z = 0 The solution to this equation could not be determined.
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