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Simplifying 0.12(y + -3) + 0.02y = 0.06y + -0.01(60) Reorder the terms: 0.12(-3 + y) + 0.02y = 0.06y + -0.01(60) (-3 * 0.12 + y * 0.12) + 0.02y = 0.06y + -0.01(60) (-0.36 + 0.12y) + 0.02y = 0.06y + -0.01(60) Combine like terms: 0.12y + 0.02y = 0.14y -0.36 + 0.14y = 0.06y + -0.01(60) Multiply -0.01 * 60 -0.36 + 0.14y = 0.06y + -0.6 Reorder the terms: -0.36 + 0.14y = -0.6 + 0.06y Solving -0.36 + 0.14y = -0.6 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.36 + 0.14y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.14y + -0.06y = 0.08y -0.36 + 0.08y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.36 + 0.08y = -0.6 + 0.00 -0.36 + 0.08y = -0.6 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.08y = -0.6 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.08y = -0.6 + 0.36 0.08y = -0.6 + 0.36 Combine like terms: -0.6 + 0.36 = -0.24 0.08y = -0.24 Divide each side by '0.08'. y = -3 Simplifying y = -3
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