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Simplifying 1.4y + 5 + -4.2 + -5y + z = 0 Reorder the terms: 5 + -4.2 + 1.4y + -5y + z = 0 Combine like terms: 5 + -4.2 = 0.8 0.8 + 1.4y + -5y + z = 0 Combine like terms: 1.4y + -5y = -3.6y 0.8 + -3.6y + z = 0 Solving 0.8 + -3.6y + z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -3.6y + -0.8 + z = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -3.6y + z = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -3.6y + z = 0 + -0.8 -3.6y + z = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -3.6y + z = -0.8 Add '-1z' to each side of the equation. -3.6y + z + -1z = -0.8 + -1z Combine like terms: z + -1z = 0 -3.6y + 0 = -0.8 + -1z -3.6y = -0.8 + -1z Divide each side by '-3.6'. y = 0.2222222222 + 0.2777777778z Simplifying y = 0.2222222222 + 0.2777777778z
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