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Simplifying 3.3y + 6.1z + -9.7y + -1(-1.5z) = 0 Remove parenthesis around (-1.5z) 3.3y + 6.1z + -9.7y + -1 * -1.5z = 0 Multiply -1 * -1.5 3.3y + 6.1z + -9.7y + 1.5z = 0 Reorder the terms: 3.3y + -9.7y + 6.1z + 1.5z = 0 Combine like terms: 3.3y + -9.7y = -6.4y -6.4y + 6.1z + 1.5z = 0 Combine like terms: 6.1z + 1.5z = 7.6z -6.4y + 7.6z = 0 Solving -6.4y + 7.6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.6z' to each side of the equation. -6.4y + 7.6z + -7.6z = 0 + -7.6z Combine like terms: 7.6z + -7.6z = 0.0 -6.4y + 0.0 = 0 + -7.6z -6.4y = 0 + -7.6z Remove the zero: -6.4y = -7.6z Divide each side by '-6.4'. y = 1.1875z Simplifying y = 1.1875z
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