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Simplifying 0.18(y + -3) + 0.14y = 0.02y + -0.01(30) Reorder the terms: 0.18(-3 + y) + 0.14y = 0.02y + -0.01(30) (-3 * 0.18 + y * 0.18) + 0.14y = 0.02y + -0.01(30) (-0.54 + 0.18y) + 0.14y = 0.02y + -0.01(30) Combine like terms: 0.18y + 0.14y = 0.32y -0.54 + 0.32y = 0.02y + -0.01(30) Multiply -0.01 * 30 -0.54 + 0.32y = 0.02y + -0.3 Reorder the terms: -0.54 + 0.32y = -0.3 + 0.02y Solving -0.54 + 0.32y = -0.3 + 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. -0.54 + 0.32y + -0.02y = -0.3 + 0.02y + -0.02y Combine like terms: 0.32y + -0.02y = 0.3y -0.54 + 0.3y = -0.3 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.54 + 0.3y = -0.3 + 0.00 -0.54 + 0.3y = -0.3 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.3y = -0.3 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.3y = -0.3 + 0.54 0.3y = -0.3 + 0.54 Combine like terms: -0.3 + 0.54 = 0.24 0.3y = 0.24 Divide each side by '0.3'. y = 0.8 Simplifying y = 0.8
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