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Simplifying 75 + -0.5y = 30 + -0.1y Solving 75 + -0.5y = 30 + -0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1y' to each side of the equation. 75 + -0.5y + 0.1y = 30 + -0.1y + 0.1y Combine like terms: -0.5y + 0.1y = -0.4y 75 + -0.4y = 30 + -0.1y + 0.1y Combine like terms: -0.1y + 0.1y = 0.0 75 + -0.4y = 30 + 0.0 75 + -0.4y = 30 Add '-75' to each side of the equation. 75 + -75 + -0.4y = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -0.4y = 30 + -75 -0.4y = 30 + -75 Combine like terms: 30 + -75 = -45 -0.4y = -45 Divide each side by '-0.4'. y = 112.5 Simplifying y = 112.5
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