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Simplifying 0.02(y + -1) + 0.20y = 0.06y + -0.09(10) Reorder the terms: 0.02(-1 + y) + 0.20y = 0.06y + -0.09(10) (-1 * 0.02 + y * 0.02) + 0.20y = 0.06y + -0.09(10) (-0.02 + 0.02y) + 0.20y = 0.06y + -0.09(10) Combine like terms: 0.02y + 0.20y = 0.22y -0.02 + 0.22y = 0.06y + -0.09(10) Multiply -0.09 * 10 -0.02 + 0.22y = 0.06y + -0.9 Reorder the terms: -0.02 + 0.22y = -0.9 + 0.06y Solving -0.02 + 0.22y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.02 + 0.22y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.22y + -0.06y = 0.16y -0.02 + 0.16y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.02 + 0.16y = -0.9 + 0.00 -0.02 + 0.16y = -0.9 Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.16y = -0.9 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.16y = -0.9 + 0.02 0.16y = -0.9 + 0.02 Combine like terms: -0.9 + 0.02 = -0.88 0.16y = -0.88 Divide each side by '0.16'. y = -5.5 Simplifying y = -5.5
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