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Simplifying 52.4 + -0.6(y + 9) = 0.4y Reorder the terms: 52.4 + -0.6(9 + y) = 0.4y 52.4 + (9 * -0.6 + y * -0.6) = 0.4y 52.4 + (-5.4 + -0.6y) = 0.4y Combine like terms: 52.4 + -5.4 = 47 47 + -0.6y = 0.4y Solving 47 + -0.6y = 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 47 + -0.6y + -0.4y = 0.4y + -0.4y Combine like terms: -0.6y + -0.4y = -1y 47 + -1y = 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 47 + -1y = 0.0 Add '-47' to each side of the equation. 47 + -47 + -1y = 0.0 + -47 Combine like terms: 47 + -47 = 0 0 + -1y = 0.0 + -47 -1y = 0.0 + -47 Combine like terms: 0.0 + -47 = -47 -1y = -47 Divide each side by '-1'. y = 47 Simplifying y = 47
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