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Simplifying 0.16(y + -4) + 0.06y = 0.02y + -0.05(20) Reorder the terms: 0.16(-4 + y) + 0.06y = 0.02y + -0.05(20) (-4 * 0.16 + y * 0.16) + 0.06y = 0.02y + -0.05(20) (-0.64 + 0.16y) + 0.06y = 0.02y + -0.05(20) Combine like terms: 0.16y + 0.06y = 0.22y -0.64 + 0.22y = 0.02y + -0.05(20) Multiply -0.05 * 20 -0.64 + 0.22y = 0.02y + -1 Reorder the terms: -0.64 + 0.22y = -1 + 0.02y Solving -0.64 + 0.22y = -1 + 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. -0.64 + 0.22y + -0.02y = -1 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.64 + 0.2y = -1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.64 + 0.2y = -1 + 0.00 -0.64 + 0.2y = -1 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.2y = -1 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.2y = -1 + 0.64 0.2y = -1 + 0.64 Combine like terms: -1 + 0.64 = -0.36 0.2y = -0.36 Divide each side by '0.2'. y = -1.8 Simplifying y = -1.8
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