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Simplifying 0.10(y + -1) + 0.14y = 0.16y + -0.07(10) Reorder the terms: 0.10(-1 + y) + 0.14y = 0.16y + -0.07(10) (-1 * 0.10 + y * 0.10) + 0.14y = 0.16y + -0.07(10) (-0.1 + 0.10y) + 0.14y = 0.16y + -0.07(10) Combine like terms: 0.10y + 0.14y = 0.24y -0.1 + 0.24y = 0.16y + -0.07(10) Multiply -0.07 * 10 -0.1 + 0.24y = 0.16y + -0.7 Reorder the terms: -0.1 + 0.24y = -0.7 + 0.16y Solving -0.1 + 0.24y = -0.7 + 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 + 0.24y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.1 + 0.08y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.1 + 0.08y = -0.7 + 0.00 -0.1 + 0.08y = -0.7 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.08y = -0.7 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.08y = -0.7 + 0.1 0.08y = -0.7 + 0.1 Combine like terms: -0.7 + 0.1 = -0.6 0.08y = -0.6 Divide each side by '0.08'. y = -7.5 Simplifying y = -7.5
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