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Simplifying 0.51y + 0.03 = 0.4y + -0.74 Reorder the terms: 0.03 + 0.51y = 0.4y + -0.74 Reorder the terms: 0.03 + 0.51y = -0.74 + 0.4y Solving 0.03 + 0.51y = -0.74 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 0.03 + 0.51y + -0.4y = -0.74 + 0.4y + -0.4y Combine like terms: 0.51y + -0.4y = 0.11y 0.03 + 0.11y = -0.74 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 0.03 + 0.11y = -0.74 + 0.0 0.03 + 0.11y = -0.74 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.11y = -0.74 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.11y = -0.74 + -0.03 0.11y = -0.74 + -0.03 Combine like terms: -0.74 + -0.03 = -0.77 0.11y = -0.77 Divide each side by '0.11'. y = -7 Simplifying y = -7
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