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Simplifying 0.4(y + 10) = y + -2 Reorder the terms: 0.4(10 + y) = y + -2 (10 * 0.4 + y * 0.4) = y + -2 (4 + 0.4y) = y + -2 Reorder the terms: 4 + 0.4y = -2 + y Solving 4 + 0.4y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 4 + 0.4y + -1y = -2 + y + -1y Combine like terms: 0.4y + -1y = -0.6y 4 + -0.6y = -2 + y + -1y Combine like terms: y + -1y = 0 4 + -0.6y = -2 + 0 4 + -0.6y = -2 Add '-4' to each side of the equation. 4 + -4 + -0.6y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.6y = -2 + -4 -0.6y = -2 + -4 Combine like terms: -2 + -4 = -6 -0.6y = -6 Divide each side by '-0.6'. y = 10 Simplifying y = 10
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