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Simplifying 0.10(y + -1) + 0.20y = 0.16y + -0.03(50) Reorder the terms: 0.10(-1 + y) + 0.20y = 0.16y + -0.03(50) (-1 * 0.10 + y * 0.10) + 0.20y = 0.16y + -0.03(50) (-0.1 + 0.10y) + 0.20y = 0.16y + -0.03(50) Combine like terms: 0.10y + 0.20y = 0.3y -0.1 + 0.3y = 0.16y + -0.03(50) Multiply -0.03 * 50 -0.1 + 0.3y = 0.16y + -1.5 Reorder the terms: -0.1 + 0.3y = -1.5 + 0.16y Solving -0.1 + 0.3y = -1.5 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.1 + 0.3y + -0.16y = -1.5 + 0.16y + -0.16y Combine like terms: 0.3y + -0.16y = 0.14y -0.1 + 0.14y = -1.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.1 + 0.14y = -1.5 + 0.00 -0.1 + 0.14y = -1.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.14y = -1.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.14y = -1.5 + 0.1 0.14y = -1.5 + 0.1 Combine like terms: -1.5 + 0.1 = -1.4 0.14y = -1.4 Divide each side by '0.14'. y = -10 Simplifying y = -10
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