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Simplifying 0.18(y + -4) + 0.04y = 0.16y + -0.03(40) Reorder the terms: 0.18(-4 + y) + 0.04y = 0.16y + -0.03(40) (-4 * 0.18 + y * 0.18) + 0.04y = 0.16y + -0.03(40) (-0.72 + 0.18y) + 0.04y = 0.16y + -0.03(40) Combine like terms: 0.18y + 0.04y = 0.22y -0.72 + 0.22y = 0.16y + -0.03(40) Multiply -0.03 * 40 -0.72 + 0.22y = 0.16y + -1.2 Reorder the terms: -0.72 + 0.22y = -1.2 + 0.16y Solving -0.72 + 0.22y = -1.2 + 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. -0.72 + 0.22y + -0.16y = -1.2 + 0.16y + -0.16y Combine like terms: 0.22y + -0.16y = 0.06y -0.72 + 0.06y = -1.2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.72 + 0.06y = -1.2 + 0.00 -0.72 + 0.06y = -1.2 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.06y = -1.2 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.06y = -1.2 + 0.72 0.06y = -1.2 + 0.72 Combine like terms: -1.2 + 0.72 = -0.48 0.06y = -0.48 Divide each side by '0.06'. y = -8 Simplifying y = -8
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