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Simplifying 0.14(y + -8) + 0.04y = 0.02y + -1.2 Reorder the terms: 0.14(-8 + y) + 0.04y = 0.02y + -1.2 (-8 * 0.14 + y * 0.14) + 0.04y = 0.02y + -1.2 (-1.12 + 0.14y) + 0.04y = 0.02y + -1.2 Combine like terms: 0.14y + 0.04y = 0.18y -1.12 + 0.18y = 0.02y + -1.2 Reorder the terms: -1.12 + 0.18y = -1.2 + 0.02y Solving -1.12 + 0.18y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -1.12 + 0.18y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -1.12 + 0.16y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.12 + 0.16y = -1.2 + 0.00 -1.12 + 0.16y = -1.2 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.16y = -1.2 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.16y = -1.2 + 1.12 0.16y = -1.2 + 1.12 Combine like terms: -1.2 + 1.12 = -0.08 0.16y = -0.08 Divide each side by '0.16'. y = -0.5 Simplifying y = -0.5
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