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Simplifying 0.02(y + -6) + 0.20y = 0.04y + -0.01(30) Reorder the terms: 0.02(-6 + y) + 0.20y = 0.04y + -0.01(30) (-6 * 0.02 + y * 0.02) + 0.20y = 0.04y + -0.01(30) (-0.12 + 0.02y) + 0.20y = 0.04y + -0.01(30) Combine like terms: 0.02y + 0.20y = 0.22y -0.12 + 0.22y = 0.04y + -0.01(30) Multiply -0.01 * 30 -0.12 + 0.22y = 0.04y + -0.3 Reorder the terms: -0.12 + 0.22y = -0.3 + 0.04y Solving -0.12 + 0.22y = -0.3 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.12 + 0.22y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.22y + -0.04y = 0.18y -0.12 + 0.18y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.12 + 0.18y = -0.3 + 0.00 -0.12 + 0.18y = -0.3 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.18y = -0.3 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.18y = -0.3 + 0.12 0.18y = -0.3 + 0.12 Combine like terms: -0.3 + 0.12 = -0.18 0.18y = -0.18 Divide each side by '0.18'. y = -1 Simplifying y = -1
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