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Simplifying 0.09(y + -6) + 0.34y = 0.03y + -0.05 Reorder the terms: 0.09(-6 + y) + 0.34y = 0.03y + -0.05 (-6 * 0.09 + y * 0.09) + 0.34y = 0.03y + -0.05 (-0.54 + 0.09y) + 0.34y = 0.03y + -0.05 Combine like terms: 0.09y + 0.34y = 0.43y -0.54 + 0.43y = 0.03y + -0.05 Reorder the terms: -0.54 + 0.43y = -0.05 + 0.03y Solving -0.54 + 0.43y = -0.05 + 0.03y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.03y' to each side of the equation. -0.54 + 0.43y + -0.03y = -0.05 + 0.03y + -0.03y Combine like terms: 0.43y + -0.03y = 0.4y -0.54 + 0.4y = -0.05 + 0.03y + -0.03y Combine like terms: 0.03y + -0.03y = 0.00 -0.54 + 0.4y = -0.05 + 0.00 -0.54 + 0.4y = -0.05 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.4y = -0.05 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.4y = -0.05 + 0.54 0.4y = -0.05 + 0.54 Combine like terms: -0.05 + 0.54 = 0.49 0.4y = 0.49 Divide each side by '0.4'. y = 1.225 Simplifying y = 1.225
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