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Simplifying (6y + 10z) + -1(13y + -5z + 4) = 0 Remove parenthesis around (6y + 10z) 6y + 10z + -1(13y + -5z + 4) = 0 Reorder the terms: 6y + 10z + -1(4 + 13y + -5z) = 0 6y + 10z + (4 * -1 + 13y * -1 + -5z * -1) = 0 6y + 10z + (-4 + -13y + 5z) = 0 Reorder the terms: -4 + 6y + -13y + 10z + 5z = 0 Combine like terms: 6y + -13y = -7y -4 + -7y + 10z + 5z = 0 Combine like terms: 10z + 5z = 15z -4 + -7y + 15z = 0 Solving -4 + -7y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -7y + 4 + 15z = 0 + 4 Reorder the terms: -4 + 4 + -7y + 15z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7y + 15z = 0 + 4 -7y + 15z = 0 + 4 Combine like terms: 0 + 4 = 4 -7y + 15z = 4 Add '-15z' to each side of the equation. -7y + 15z + -15z = 4 + -15z Combine like terms: 15z + -15z = 0 -7y + 0 = 4 + -15z -7y = 4 + -15z Divide each side by '-7'. y = -0.5714285714 + 2.142857143z Simplifying y = -0.5714285714 + 2.142857143z
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