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Simplifying (5y + 4z) + (3y + -3z) = 0 Remove parenthesis around (5y + 4z) 5y + 4z + (3y + -3z) = 0 Remove parenthesis around (3y + -3z) 5y + 4z + 3y + -3z = 0 Reorder the terms: 5y + 3y + 4z + -3z = 0 Combine like terms: 5y + 3y = 8y 8y + 4z + -3z = 0 Combine like terms: 4z + -3z = 1z 8y + 1z = 0 Solving 8y + 1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 8y + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 8y + 0 = 0 + -1z 8y = 0 + -1z Remove the zero: 8y = -1z Divide each side by '8'. y = -0.125z Simplifying y = -0.125z
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