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Simplifying 0.14(y + -3) + 0.10y = 0.16y + -0.6 Reorder the terms: 0.14(-3 + y) + 0.10y = 0.16y + -0.6 (-3 * 0.14 + y * 0.14) + 0.10y = 0.16y + -0.6 (-0.42 + 0.14y) + 0.10y = 0.16y + -0.6 Combine like terms: 0.14y + 0.10y = 0.24y -0.42 + 0.24y = 0.16y + -0.6 Reorder the terms: -0.42 + 0.24y = -0.6 + 0.16y Solving -0.42 + 0.24y = -0.6 + 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. -0.42 + 0.24y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.42 + 0.08y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.42 + 0.08y = -0.6 + 0.00 -0.42 + 0.08y = -0.6 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.08y = -0.6 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.08y = -0.6 + 0.42 0.08y = -0.6 + 0.42 Combine like terms: -0.6 + 0.42 = -0.18 0.08y = -0.18 Divide each side by '0.08'. y = -2.25 Simplifying y = -2.25
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