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Simplifying 6(y + -5) = z(10 + 3y) Reorder the terms: 6(-5 + y) = z(10 + 3y) (-5 * 6 + y * 6) = z(10 + 3y) (-30 + 6y) = z(10 + 3y) -30 + 6y = (10 * z + 3y * z) Reorder the terms: -30 + 6y = (3yz + 10z) -30 + 6y = (3yz + 10z) Solving -30 + 6y = 3yz + 10z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3yz' to each side of the equation. -30 + 6y + -3yz = 3yz + -3yz + 10z Combine like terms: 3yz + -3yz = 0 -30 + 6y + -3yz = 0 + 10z -30 + 6y + -3yz = 10z Add '30' to each side of the equation. -30 + 6y + 30 + -3yz = 30 + 10z Reorder the terms: -30 + 30 + 6y + -3yz = 30 + 10z Combine like terms: -30 + 30 = 0 0 + 6y + -3yz = 30 + 10z 6y + -3yz = 30 + 10z Reorder the terms: -30 + 6y + -3yz + -10z = 30 + 10z + -30 + -10z Reorder the terms: -30 + 6y + -3yz + -10z = 30 + -30 + 10z + -10z Combine like terms: 30 + -30 = 0 -30 + 6y + -3yz + -10z = 0 + 10z + -10z -30 + 6y + -3yz + -10z = 10z + -10z Combine like terms: 10z + -10z = 0 -30 + 6y + -3yz + -10z = 0 The solution to this equation could not be determined.
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