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Simplifying 0.14(y + -5) + 0.16y = 0.08y + -0.09(20) Reorder the terms: 0.14(-5 + y) + 0.16y = 0.08y + -0.09(20) (-5 * 0.14 + y * 0.14) + 0.16y = 0.08y + -0.09(20) (-0.7 + 0.14y) + 0.16y = 0.08y + -0.09(20) Combine like terms: 0.14y + 0.16y = 0.3y -0.7 + 0.3y = 0.08y + -0.09(20) Multiply -0.09 * 20 -0.7 + 0.3y = 0.08y + -1.8 Reorder the terms: -0.7 + 0.3y = -1.8 + 0.08y Solving -0.7 + 0.3y = -1.8 + 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 + 0.3y + -0.08y = -1.8 + 0.08y + -0.08y Combine like terms: 0.3y + -0.08y = 0.22y -0.7 + 0.22y = -1.8 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.7 + 0.22y = -1.8 + 0.00 -0.7 + 0.22y = -1.8 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.22y = -1.8 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.22y = -1.8 + 0.7 0.22y = -1.8 + 0.7 Combine like terms: -1.8 + 0.7 = -1.1 0.22y = -1.1 Divide each side by '0.22'. y = -5 Simplifying y = -5
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