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Simplifying 0.31(y + -2) + 0.14y = 0.5y + -0.50 Reorder the terms: 0.31(-2 + y) + 0.14y = 0.5y + -0.50 (-2 * 0.31 + y * 0.31) + 0.14y = 0.5y + -0.50 (-0.62 + 0.31y) + 0.14y = 0.5y + -0.50 Combine like terms: 0.31y + 0.14y = 0.45y -0.62 + 0.45y = 0.5y + -0.50 Reorder the terms: -0.62 + 0.45y = -0.50 + 0.5y Solving -0.62 + 0.45y = -0.50 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. -0.62 + 0.45y + -0.5y = -0.50 + 0.5y + -0.5y Combine like terms: 0.45y + -0.5y = -0.05y -0.62 + -0.05y = -0.50 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -0.62 + -0.05y = -0.50 + 0.0 -0.62 + -0.05y = -0.50 Add '0.62' to each side of the equation. -0.62 + 0.62 + -0.05y = -0.50 + 0.62 Combine like terms: -0.62 + 0.62 = 0.00 0.00 + -0.05y = -0.50 + 0.62 -0.05y = -0.50 + 0.62 Combine like terms: -0.50 + 0.62 = 0.12 -0.05y = 0.12 Divide each side by '-0.05'. y = -2.4 Simplifying y = -2.4
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