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Simplifying 0.04(y + -9) + 0.16y = 0.14y + -0.01(30) Reorder the terms: 0.04(-9 + y) + 0.16y = 0.14y + -0.01(30) (-9 * 0.04 + y * 0.04) + 0.16y = 0.14y + -0.01(30) (-0.36 + 0.04y) + 0.16y = 0.14y + -0.01(30) Combine like terms: 0.04y + 0.16y = 0.2y -0.36 + 0.2y = 0.14y + -0.01(30) Multiply -0.01 * 30 -0.36 + 0.2y = 0.14y + -0.3 Reorder the terms: -0.36 + 0.2y = -0.3 + 0.14y Solving -0.36 + 0.2y = -0.3 + 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. -0.36 + 0.2y + -0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.2y + -0.14y = 0.06y -0.36 + 0.06y = -0.3 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.36 + 0.06y = -0.3 + 0.00 -0.36 + 0.06y = -0.3 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.06y = -0.3 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.06y = -0.3 + 0.36 0.06y = -0.3 + 0.36 Combine like terms: -0.3 + 0.36 = 0.06 0.06y = 0.06 Divide each side by '0.06'. y = 1 Simplifying y = 1
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