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Simplifying 0.16(y + -5) + 0.10y = 0.20y + -0.01(50) Reorder the terms: 0.16(-5 + y) + 0.10y = 0.20y + -0.01(50) (-5 * 0.16 + y * 0.16) + 0.10y = 0.20y + -0.01(50) (-0.8 + 0.16y) + 0.10y = 0.20y + -0.01(50) Combine like terms: 0.16y + 0.10y = 0.26y -0.8 + 0.26y = 0.20y + -0.01(50) Multiply -0.01 * 50 -0.8 + 0.26y = 0.20y + -0.5 Reorder the terms: -0.8 + 0.26y = -0.5 + 0.20y Solving -0.8 + 0.26y = -0.5 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.8 + 0.26y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.26y + -0.20y = 0.06y -0.8 + 0.06y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.8 + 0.06y = -0.5 + 0.00 -0.8 + 0.06y = -0.5 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.06y = -0.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.06y = -0.5 + 0.8 0.06y = -0.5 + 0.8 Combine like terms: -0.5 + 0.8 = 0.3 0.06y = 0.3 Divide each side by '0.06'. y = 5 Simplifying y = 5
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