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Simplifying 0.02(y + -8) + 0.20y = 0.04y + -0.07(10) Reorder the terms: 0.02(-8 + y) + 0.20y = 0.04y + -0.07(10) (-8 * 0.02 + y * 0.02) + 0.20y = 0.04y + -0.07(10) (-0.16 + 0.02y) + 0.20y = 0.04y + -0.07(10) Combine like terms: 0.02y + 0.20y = 0.22y -0.16 + 0.22y = 0.04y + -0.07(10) Multiply -0.07 * 10 -0.16 + 0.22y = 0.04y + -0.7 Reorder the terms: -0.16 + 0.22y = -0.7 + 0.04y Solving -0.16 + 0.22y = -0.7 + 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. -0.16 + 0.22y + -0.04y = -0.7 + 0.04y + -0.04y Combine like terms: 0.22y + -0.04y = 0.18y -0.16 + 0.18y = -0.7 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.16 + 0.18y = -0.7 + 0.00 -0.16 + 0.18y = -0.7 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.18y = -0.7 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.18y = -0.7 + 0.16 0.18y = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.18y = -0.54 Divide each side by '0.18'. y = -3 Simplifying y = -3
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