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Simplifying 0.14(y + -3) + 0.08y = 0.16y + -0.03(30) Reorder the terms: 0.14(-3 + y) + 0.08y = 0.16y + -0.03(30) (-3 * 0.14 + y * 0.14) + 0.08y = 0.16y + -0.03(30) (-0.42 + 0.14y) + 0.08y = 0.16y + -0.03(30) Combine like terms: 0.14y + 0.08y = 0.22y -0.42 + 0.22y = 0.16y + -0.03(30) Multiply -0.03 * 30 -0.42 + 0.22y = 0.16y + -0.9 Reorder the terms: -0.42 + 0.22y = -0.9 + 0.16y Solving -0.42 + 0.22y = -0.9 + 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 + 0.22y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.22y + -0.16y = 0.06y -0.42 + 0.06y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.42 + 0.06y = -0.9 + 0.00 -0.42 + 0.06y = -0.9 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.06y = -0.9 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.06y = -0.9 + 0.42 0.06y = -0.9 + 0.42 Combine like terms: -0.9 + 0.42 = -0.48 0.06y = -0.48 Divide each side by '0.06'. y = -8 Simplifying y = -8
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