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Simplifying 0.16(y + -2) + 0.02y = 0.14y + -0.1 Reorder the terms: 0.16(-2 + y) + 0.02y = 0.14y + -0.1 (-2 * 0.16 + y * 0.16) + 0.02y = 0.14y + -0.1 (-0.32 + 0.16y) + 0.02y = 0.14y + -0.1 Combine like terms: 0.16y + 0.02y = 0.18y -0.32 + 0.18y = 0.14y + -0.1 Reorder the terms: -0.32 + 0.18y = -0.1 + 0.14y Solving -0.32 + 0.18y = -0.1 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.32 + 0.18y + -0.14y = -0.1 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.32 + 0.04y = -0.1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.32 + 0.04y = -0.1 + 0.00 -0.32 + 0.04y = -0.1 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.04y = -0.1 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.04y = -0.1 + 0.32 0.04y = -0.1 + 0.32 Combine like terms: -0.1 + 0.32 = 0.22 0.04y = 0.22 Divide each side by '0.04'. y = 5.5 Simplifying y = 5.5
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