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Simplifying (7z + -3y) + -1(4z + -5y) = 0 Reorder the terms: (-3y + 7z) + -1(4z + -5y) = 0 Remove parenthesis around (-3y + 7z) -3y + 7z + -1(4z + -5y) = 0 Reorder the terms: -3y + 7z + -1(-5y + 4z) = 0 -3y + 7z + (-5y * -1 + 4z * -1) = 0 -3y + 7z + (5y + -4z) = 0 Reorder the terms: -3y + 5y + 7z + -4z = 0 Combine like terms: -3y + 5y = 2y 2y + 7z + -4z = 0 Combine like terms: 7z + -4z = 3z 2y + 3z = 0 Solving 2y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 2y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 2y + 0 = 0 + -3z 2y = 0 + -3z Remove the zero: 2y = -3z Divide each side by '2'. y = -1.5z Simplifying y = -1.5z
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