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Simplifying 0.19(y + -2) + 0.05y = 0.04y + -0.30 Reorder the terms: 0.19(-2 + y) + 0.05y = 0.04y + -0.30 (-2 * 0.19 + y * 0.19) + 0.05y = 0.04y + -0.30 (-0.38 + 0.19y) + 0.05y = 0.04y + -0.30 Combine like terms: 0.19y + 0.05y = 0.24y -0.38 + 0.24y = 0.04y + -0.30 Reorder the terms: -0.38 + 0.24y = -0.30 + 0.04y Solving -0.38 + 0.24y = -0.30 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.38 + 0.24y + -0.04y = -0.30 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.38 + 0.2y = -0.30 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.38 + 0.2y = -0.30 + 0.00 -0.38 + 0.2y = -0.30 Add '0.38' to each side of the equation. -0.38 + 0.38 + 0.2y = -0.30 + 0.38 Combine like terms: -0.38 + 0.38 = 0.00 0.00 + 0.2y = -0.30 + 0.38 0.2y = -0.30 + 0.38 Combine like terms: -0.30 + 0.38 = 0.08 0.2y = 0.08 Divide each side by '0.2'. y = 0.4 Simplifying y = 0.4
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