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Simplifying 0.1y + 4 = 0.75y + 30 Reorder the terms: 4 + 0.1y = 0.75y + 30 Reorder the terms: 4 + 0.1y = 30 + 0.75y Solving 4 + 0.1y = 30 + 0.75y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75y' to each side of the equation. 4 + 0.1y + -0.75y = 30 + 0.75y + -0.75y Combine like terms: 0.1y + -0.75y = -0.65y 4 + -0.65y = 30 + 0.75y + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 4 + -0.65y = 30 + 0.00 4 + -0.65y = 30 Add '-4' to each side of the equation. 4 + -4 + -0.65y = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -0.65y = 30 + -4 -0.65y = 30 + -4 Combine like terms: 30 + -4 = 26 -0.65y = 26 Divide each side by '-0.65'. y = -40 Simplifying y = -40
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