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Simplifying 0.4(y + -5) + 0.12y = 0.08y + -0.01(50) Reorder the terms: 0.4(-5 + y) + 0.12y = 0.08y + -0.01(50) (-5 * 0.4 + y * 0.4) + 0.12y = 0.08y + -0.01(50) (-2 + 0.4y) + 0.12y = 0.08y + -0.01(50) Combine like terms: 0.4y + 0.12y = 0.52y -2 + 0.52y = 0.08y + -0.01(50) Multiply -0.01 * 50 -2 + 0.52y = 0.08y + -0.5 Reorder the terms: -2 + 0.52y = -0.5 + 0.08y Solving -2 + 0.52y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -2 + 0.52y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.52y + -0.08y = 0.44y -2 + 0.44y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -2 + 0.44y = -0.5 + 0.00 -2 + 0.44y = -0.5 Add '2' to each side of the equation. -2 + 2 + 0.44y = -0.5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.44y = -0.5 + 2 0.44y = -0.5 + 2 Combine like terms: -0.5 + 2 = 1.5 0.44y = 1.5 Divide each side by '0.44'. y = 3.409090909 Simplifying y = 3.409090909
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