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Simplifying -5.2 + 3y = 0.2(y + 2) Reorder the terms: -5.2 + 3y = 0.2(2 + y) -5.2 + 3y = (2 * 0.2 + y * 0.2) -5.2 + 3y = (0.4 + 0.2y) Solving -5.2 + 3y = 0.4 + 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. -5.2 + 3y + -0.2y = 0.4 + 0.2y + -0.2y Combine like terms: 3y + -0.2y = 2.8y -5.2 + 2.8y = 0.4 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -5.2 + 2.8y = 0.4 + 0.0 -5.2 + 2.8y = 0.4 Add '5.2' to each side of the equation. -5.2 + 5.2 + 2.8y = 0.4 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 2.8y = 0.4 + 5.2 2.8y = 0.4 + 5.2 Combine like terms: 0.4 + 5.2 = 5.6 2.8y = 5.6 Divide each side by '2.8'. y = 2 Simplifying y = 2
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