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Simplifying 0.16(y + -5) + 0.02y = 0.14y + -0.01(40) Reorder the terms: 0.16(-5 + y) + 0.02y = 0.14y + -0.01(40) (-5 * 0.16 + y * 0.16) + 0.02y = 0.14y + -0.01(40) (-0.8 + 0.16y) + 0.02y = 0.14y + -0.01(40) Combine like terms: 0.16y + 0.02y = 0.18y -0.8 + 0.18y = 0.14y + -0.01(40) Multiply -0.01 * 40 -0.8 + 0.18y = 0.14y + -0.4 Reorder the terms: -0.8 + 0.18y = -0.4 + 0.14y Solving -0.8 + 0.18y = -0.4 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.8 + 0.18y + -0.14y = -0.4 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.8 + 0.04y = -0.4 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.8 + 0.04y = -0.4 + 0.00 -0.8 + 0.04y = -0.4 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.04y = -0.4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.04y = -0.4 + 0.8 0.04y = -0.4 + 0.8 Combine like terms: -0.4 + 0.8 = 0.4 0.04y = 0.4 Divide each side by '0.04'. y = 10 Simplifying y = 10
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