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Simplifying 0.06(y + -7) + 0.12y = 0.02y + -0.9 Reorder the terms: 0.06(-7 + y) + 0.12y = 0.02y + -0.9 (-7 * 0.06 + y * 0.06) + 0.12y = 0.02y + -0.9 (-0.42 + 0.06y) + 0.12y = 0.02y + -0.9 Combine like terms: 0.06y + 0.12y = 0.18y -0.42 + 0.18y = 0.02y + -0.9 Reorder the terms: -0.42 + 0.18y = -0.9 + 0.02y Solving -0.42 + 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. -0.42 + 0.18y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -0.42 + 0.16y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.42 + 0.16y = -0.9 + 0.00 -0.42 + 0.16y = -0.9 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.16y = -0.9 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.16y = -0.9 + 0.42 0.16y = -0.9 + 0.42 Combine like terms: -0.9 + 0.42 = -0.48 0.16y = -0.48 Divide each side by '0.16'. y = -3 Simplifying y = -3
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