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Simplifying 0.18(y + -2) + 0.04y = 0.16y + -0.03(20) Reorder the terms: 0.18(-2 + y) + 0.04y = 0.16y + -0.03(20) (-2 * 0.18 + y * 0.18) + 0.04y = 0.16y + -0.03(20) (-0.36 + 0.18y) + 0.04y = 0.16y + -0.03(20) Combine like terms: 0.18y + 0.04y = 0.22y -0.36 + 0.22y = 0.16y + -0.03(20) Multiply -0.03 * 20 -0.36 + 0.22y = 0.16y + -0.6 Reorder the terms: -0.36 + 0.22y = -0.6 + 0.16y Solving -0.36 + 0.22y = -0.6 + 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. -0.36 + 0.22y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.22y + -0.16y = 0.06y -0.36 + 0.06y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.36 + 0.06y = -0.6 + 0.00 -0.36 + 0.06y = -0.6 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.06y = -0.6 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.06y = -0.6 + 0.36 0.06y = -0.6 + 0.36 Combine like terms: -0.6 + 0.36 = -0.24 0.06y = -0.24 Divide each side by '0.06'. y = -4 Simplifying y = -4
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