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Simplifying 0.5y + 7 = 0.75y + -4 Reorder the terms: 7 + 0.5y = 0.75y + -4 Reorder the terms: 7 + 0.5y = -4 + 0.75y Solving 7 + 0.5y = -4 + 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. 7 + 0.5y + -0.75y = -4 + 0.75y + -0.75y Combine like terms: 0.5y + -0.75y = -0.25y 7 + -0.25y = -4 + 0.75y + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 7 + -0.25y = -4 + 0.00 7 + -0.25y = -4 Add '-7' to each side of the equation. 7 + -7 + -0.25y = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -0.25y = -4 + -7 -0.25y = -4 + -7 Combine like terms: -4 + -7 = -11 -0.25y = -11 Divide each side by '-0.25'. y = 44 Simplifying y = 44
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