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Simplifying 1.6y + -8y + 9 = 4.3q + -2.9q + 1.6 Reorder the terms: 9 + 1.6y + -8y = 4.3q + -2.9q + 1.6 Combine like terms: 1.6y + -8y = -6.4y 9 + -6.4y = 4.3q + -2.9q + 1.6 Reorder the terms: 9 + -6.4y = 1.6 + 4.3q + -2.9q Combine like terms: 4.3q + -2.9q = 1.4q 9 + -6.4y = 1.6 + 1.4q Solving 9 + -6.4y = 1.6 + 1.4q Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -6.4y = 1.6 + -9 + 1.4q Combine like terms: 9 + -9 = 0 0 + -6.4y = 1.6 + -9 + 1.4q -6.4y = 1.6 + -9 + 1.4q Combine like terms: 1.6 + -9 = -7.4 -6.4y = -7.4 + 1.4q Divide each side by '-6.4'. y = 1.15625 + -0.21875q Simplifying y = 1.15625 + -0.21875q
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