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Simplifying 0.10(y + -1) + 0.20y = 0.14y + -0.05(10) Reorder the terms: 0.10(-1 + y) + 0.20y = 0.14y + -0.05(10) (-1 * 0.10 + y * 0.10) + 0.20y = 0.14y + -0.05(10) (-0.1 + 0.10y) + 0.20y = 0.14y + -0.05(10) Combine like terms: 0.10y + 0.20y = 0.3y -0.1 + 0.3y = 0.14y + -0.05(10) Multiply -0.05 * 10 -0.1 + 0.3y = 0.14y + -0.5 Reorder the terms: -0.1 + 0.3y = -0.5 + 0.14y Solving -0.1 + 0.3y = -0.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.1 + 0.3y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.3y + -0.14y = 0.16y -0.1 + 0.16y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.1 + 0.16y = -0.5 + 0.00 -0.1 + 0.16y = -0.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.16y = -0.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.16y = -0.5 + 0.1 0.16y = -0.5 + 0.1 Combine like terms: -0.5 + 0.1 = -0.4 0.16y = -0.4 Divide each side by '0.16'. y = -2.5 Simplifying y = -2.5
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