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Simplifying 0.2 + -0.2(y + -50) = 0.2y + -1 Reorder the terms: 0.2 + -0.2(-50 + y) = 0.2y + -1 0.2 + (-50 * -0.2 + y * -0.2) = 0.2y + -1 0.2 + (10 + -0.2y) = 0.2y + -1 Combine like terms: 0.2 + 10 = 10.2 10.2 + -0.2y = 0.2y + -1 Reorder the terms: 10.2 + -0.2y = -1 + 0.2y Solving 10.2 + -0.2y = -1 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 10.2 + -0.2y + -0.2y = -1 + 0.2y + -0.2y Combine like terms: -0.2y + -0.2y = -0.4y 10.2 + -0.4y = -1 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 10.2 + -0.4y = -1 + 0.0 10.2 + -0.4y = -1 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -0.4y = -1 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -0.4y = -1 + -10.2 -0.4y = -1 + -10.2 Combine like terms: -1 + -10.2 = -11.2 -0.4y = -11.2 Divide each side by '-0.4'. y = 28 Simplifying y = 28
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