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Simplifying 0.18(y + -5) + 0.14y = 0.02y + -0.03(50) Reorder the terms: 0.18(-5 + y) + 0.14y = 0.02y + -0.03(50) (-5 * 0.18 + y * 0.18) + 0.14y = 0.02y + -0.03(50) (-0.9 + 0.18y) + 0.14y = 0.02y + -0.03(50) Combine like terms: 0.18y + 0.14y = 0.32y -0.9 + 0.32y = 0.02y + -0.03(50) Multiply -0.03 * 50 -0.9 + 0.32y = 0.02y + -1.5 Reorder the terms: -0.9 + 0.32y = -1.5 + 0.02y Solving -0.9 + 0.32y = -1.5 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.9 + 0.32y + -0.02y = -1.5 + 0.02y + -0.02y Combine like terms: 0.32y + -0.02y = 0.3y -0.9 + 0.3y = -1.5 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.9 + 0.3y = -1.5 + 0.00 -0.9 + 0.3y = -1.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.3y = -1.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.3y = -1.5 + 0.9 0.3y = -1.5 + 0.9 Combine like terms: -1.5 + 0.9 = -0.6 0.3y = -0.6 Divide each side by '0.3'. y = -2 Simplifying y = -2
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