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Simplifying 9(3y + -5z) + -1(14y + -1z) = 0 (3y * 9 + -5z * 9) + -1(14y + -1z) = 0 (27y + -45z) + -1(14y + -1z) = 0 27y + -45z + (14y * -1 + -1z * -1) = 0 27y + -45z + (-14y + 1z) = 0 Reorder the terms: 27y + -14y + -45z + 1z = 0 Combine like terms: 27y + -14y = 13y 13y + -45z + 1z = 0 Combine like terms: -45z + 1z = -44z 13y + -44z = 0 Solving 13y + -44z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44z' to each side of the equation. 13y + -44z + 44z = 0 + 44z Combine like terms: -44z + 44z = 0 13y + 0 = 0 + 44z 13y = 0 + 44z Remove the zero: 13y = 44z Divide each side by '13'. y = 3.384615385z Simplifying y = 3.384615385z
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