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Simplifying 0.12(y + -5) + 0.06y = 0.02y + -1.4 Reorder the terms: 0.12(-5 + y) + 0.06y = 0.02y + -1.4 (-5 * 0.12 + y * 0.12) + 0.06y = 0.02y + -1.4 (-0.6 + 0.12y) + 0.06y = 0.02y + -1.4 Combine like terms: 0.12y + 0.06y = 0.18y -0.6 + 0.18y = 0.02y + -1.4 Reorder the terms: -0.6 + 0.18y = -1.4 + 0.02y Solving -0.6 + 0.18y = -1.4 + 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. -0.6 + 0.18y + -0.02y = -1.4 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -0.6 + 0.16y = -1.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.6 + 0.16y = -1.4 + 0.00 -0.6 + 0.16y = -1.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.16y = -1.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.16y = -1.4 + 0.6 0.16y = -1.4 + 0.6 Combine like terms: -1.4 + 0.6 = -0.8 0.16y = -0.8 Divide each side by '0.16'. y = -5 Simplifying y = -5
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