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Simplifying 0.06(y + -4) + 0.14y = 0.04y + -0.03(20) Reorder the terms: 0.06(-4 + y) + 0.14y = 0.04y + -0.03(20) (-4 * 0.06 + y * 0.06) + 0.14y = 0.04y + -0.03(20) (-0.24 + 0.06y) + 0.14y = 0.04y + -0.03(20) Combine like terms: 0.06y + 0.14y = 0.2y -0.24 + 0.2y = 0.04y + -0.03(20) Multiply -0.03 * 20 -0.24 + 0.2y = 0.04y + -0.6 Reorder the terms: -0.24 + 0.2y = -0.6 + 0.04y Solving -0.24 + 0.2y = -0.6 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.24 + 0.2y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.2y + -0.04y = 0.16y -0.24 + 0.16y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.24 + 0.16y = -0.6 + 0.00 -0.24 + 0.16y = -0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.16y = -0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.16y = -0.6 + 0.24 0.16y = -0.6 + 0.24 Combine like terms: -0.6 + 0.24 = -0.36 0.16y = -0.36 Divide each side by '0.16'. y = -2.25 Simplifying y = -2.25
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