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Simplifying 0.18(y + -2) + 0.16y = 0.20y + -0.01(50) Reorder the terms: 0.18(-2 + y) + 0.16y = 0.20y + -0.01(50) (-2 * 0.18 + y * 0.18) + 0.16y = 0.20y + -0.01(50) (-0.36 + 0.18y) + 0.16y = 0.20y + -0.01(50) Combine like terms: 0.18y + 0.16y = 0.34y -0.36 + 0.34y = 0.20y + -0.01(50) Multiply -0.01 * 50 -0.36 + 0.34y = 0.20y + -0.5 Reorder the terms: -0.36 + 0.34y = -0.5 + 0.20y Solving -0.36 + 0.34y = -0.5 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.36 + 0.34y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.34y + -0.20y = 0.14y -0.36 + 0.14y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.36 + 0.14y = -0.5 + 0.00 -0.36 + 0.14y = -0.5 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.14y = -0.5 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.14y = -0.5 + 0.36 0.14y = -0.5 + 0.36 Combine like terms: -0.5 + 0.36 = -0.14 0.14y = -0.14 Divide each side by '0.14'. y = -1 Simplifying y = -1
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