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Simplifying 0.02(y + -8) + 0.18y = 0.16y + -0.3 Reorder the terms: 0.02(-8 + y) + 0.18y = 0.16y + -0.3 (-8 * 0.02 + y * 0.02) + 0.18y = 0.16y + -0.3 (-0.16 + 0.02y) + 0.18y = 0.16y + -0.3 Combine like terms: 0.02y + 0.18y = 0.2y -0.16 + 0.2y = 0.16y + -0.3 Reorder the terms: -0.16 + 0.2y = -0.3 + 0.16y Solving -0.16 + 0.2y = -0.3 + 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. -0.16 + 0.2y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -0.16 + 0.04y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.16 + 0.04y = -0.3 + 0.00 -0.16 + 0.04y = -0.3 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.04y = -0.3 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.04y = -0.3 + 0.16 0.04y = -0.3 + 0.16 Combine like terms: -0.3 + 0.16 = -0.14 0.04y = -0.14 Divide each side by '0.04'. y = -3.5 Simplifying y = -3.5
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