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Simplifying 0.06(y + -4) + 0.14y = 0.16y + -0.01(30) Reorder the terms: 0.06(-4 + y) + 0.14y = 0.16y + -0.01(30) (-4 * 0.06 + y * 0.06) + 0.14y = 0.16y + -0.01(30) (-0.24 + 0.06y) + 0.14y = 0.16y + -0.01(30) Combine like terms: 0.06y + 0.14y = 0.2y -0.24 + 0.2y = 0.16y + -0.01(30) Multiply -0.01 * 30 -0.24 + 0.2y = 0.16y + -0.3 Reorder the terms: -0.24 + 0.2y = -0.3 + 0.16y Solving -0.24 + 0.2y = -0.3 + 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. -0.24 + 0.2y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -0.24 + 0.04y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.24 + 0.04y = -0.3 + 0.00 -0.24 + 0.04y = -0.3 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04y = -0.3 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04y = -0.3 + 0.24 0.04y = -0.3 + 0.24 Combine like terms: -0.3 + 0.24 = -0.06 0.04y = -0.06 Divide each side by '0.04'. y = -1.5 Simplifying y = -1.5
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