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Simplifying 0.5y + -0.1 = 0.3y + 0.7 Reorder the terms: -0.1 + 0.5y = 0.3y + 0.7 Reorder the terms: -0.1 + 0.5y = 0.7 + 0.3y Solving -0.1 + 0.5y = 0.7 + 0.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3y' to each side of the equation. -0.1 + 0.5y + -0.3y = 0.7 + 0.3y + -0.3y Combine like terms: 0.5y + -0.3y = 0.2y -0.1 + 0.2y = 0.7 + 0.3y + -0.3y Combine like terms: 0.3y + -0.3y = 0.0 -0.1 + 0.2y = 0.7 + 0.0 -0.1 + 0.2y = 0.7 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.2y = 0.7 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.2y = 0.7 + 0.1 0.2y = 0.7 + 0.1 Combine like terms: 0.7 + 0.1 = 0.8 0.2y = 0.8 Divide each side by '0.2'. y = 4 Simplifying y = 4
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