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Simplifying 0.14(y + -5) + 0.02y = 0.08y + -0.01(50) Reorder the terms: 0.14(-5 + y) + 0.02y = 0.08y + -0.01(50) (-5 * 0.14 + y * 0.14) + 0.02y = 0.08y + -0.01(50) (-0.7 + 0.14y) + 0.02y = 0.08y + -0.01(50) Combine like terms: 0.14y + 0.02y = 0.16y -0.7 + 0.16y = 0.08y + -0.01(50) Multiply -0.01 * 50 -0.7 + 0.16y = 0.08y + -0.5 Reorder the terms: -0.7 + 0.16y = -0.5 + 0.08y Solving -0.7 + 0.16y = -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. -0.7 + 0.16y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.7 + 0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.7 + 0.08y = -0.5 + 0.00 -0.7 + 0.08y = -0.5 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.08y = -0.5 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.08y = -0.5 + 0.7 0.08y = -0.5 + 0.7 Combine like terms: -0.5 + 0.7 = 0.2 0.08y = 0.2 Divide each side by '0.08'. y = 2.5 Simplifying y = 2.5
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