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Simplifying 0.16(y + -5) + 0.20y = 0.04y + -0.05(40) Reorder the terms: 0.16(-5 + y) + 0.20y = 0.04y + -0.05(40) (-5 * 0.16 + y * 0.16) + 0.20y = 0.04y + -0.05(40) (-0.8 + 0.16y) + 0.20y = 0.04y + -0.05(40) Combine like terms: 0.16y + 0.20y = 0.36y -0.8 + 0.36y = 0.04y + -0.05(40) Multiply -0.05 * 40 -0.8 + 0.36y = 0.04y + -2 Reorder the terms: -0.8 + 0.36y = -2 + 0.04y Solving -0.8 + 0.36y = -2 + 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. -0.8 + 0.36y + -0.04y = -2 + 0.04y + -0.04y Combine like terms: 0.36y + -0.04y = 0.32y -0.8 + 0.32y = -2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.8 + 0.32y = -2 + 0.00 -0.8 + 0.32y = -2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.32y = -2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.32y = -2 + 0.8 0.32y = -2 + 0.8 Combine like terms: -2 + 0.8 = -1.2 0.32y = -1.2 Divide each side by '0.32'. y = -3.75 Simplifying y = -3.75
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