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Simplifying 0.06(y + -5) + 0.12y = 0.02y + -0.9 Reorder the terms: 0.06(-5 + y) + 0.12y = 0.02y + -0.9 (-5 * 0.06 + y * 0.06) + 0.12y = 0.02y + -0.9 (-0.3 + 0.06y) + 0.12y = 0.02y + -0.9 Combine like terms: 0.06y + 0.12y = 0.18y -0.3 + 0.18y = 0.02y + -0.9 Reorder the terms: -0.3 + 0.18y = -0.9 + 0.02y Solving -0.3 + 0.18y = -0.9 + 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. -0.3 + 0.18y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -0.3 + 0.16y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.3 + 0.16y = -0.9 + 0.00 -0.3 + 0.16y = -0.9 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.16y = -0.9 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.16y = -0.9 + 0.3 0.16y = -0.9 + 0.3 Combine like terms: -0.9 + 0.3 = -0.6 0.16y = -0.6 Divide each side by '0.16'. y = -3.75 Simplifying y = -3.75
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