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Simplifying (0.06(y + -6) + 0.16y) = 0.02y + -0.03(40) Reorder the terms: (0.06(-6 + y) + 0.16y) = 0.02y + -0.03(40) ((-6 * 0.06 + y * 0.06) + 0.16y) = 0.02y + -0.03(40) ((-0.36 + 0.06y) + 0.16y) = 0.02y + -0.03(40) Combine like terms: 0.06y + 0.16y = 0.22y (-0.36 + 0.22y) = 0.02y + -0.03(40) Remove parenthesis around (-0.36 + 0.22y) -0.36 + 0.22y = 0.02y + -0.03(40) Multiply -0.03 * 40 -0.36 + 0.22y = 0.02y + -1.2 Reorder the terms: -0.36 + 0.22y = -1.2 + 0.02y Solving -0.36 + 0.22y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.36 + 0.22y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.36 + 0.2y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.36 + 0.2y = -1.2 + 0.00 -0.36 + 0.2y = -1.2 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.2y = -1.2 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.2y = -1.2 + 0.36 0.2y = -1.2 + 0.36 Combine like terms: -1.2 + 0.36 = -0.84 0.2y = -0.84 Divide each side by '0.2'. y = -4.2 Simplifying y = -4.2
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