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Simplifying 0.18(y + -8) + 0.02y = 0.16y + -0.07(20) Reorder the terms: 0.18(-8 + y) + 0.02y = 0.16y + -0.07(20) (-8 * 0.18 + y * 0.18) + 0.02y = 0.16y + -0.07(20) (-1.44 + 0.18y) + 0.02y = 0.16y + -0.07(20) Combine like terms: 0.18y + 0.02y = 0.2y -1.44 + 0.2y = 0.16y + -0.07(20) Multiply -0.07 * 20 -1.44 + 0.2y = 0.16y + -1.4 Reorder the terms: -1.44 + 0.2y = -1.4 + 0.16y Solving -1.44 + 0.2y = -1.4 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1.44 + 0.2y + -0.16y = -1.4 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -1.44 + 0.04y = -1.4 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.44 + 0.04y = -1.4 + 0.00 -1.44 + 0.04y = -1.4 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.04y = -1.4 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.04y = -1.4 + 1.44 0.04y = -1.4 + 1.44 Combine like terms: -1.4 + 1.44 = 0.04 0.04y = 0.04 Divide each side by '0.04'. y = 1 Simplifying y = 1
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