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Simplifying 0.06(y + -7) + 0.14y = 0.12y + -0.6 Reorder the terms: 0.06(-7 + y) + 0.14y = 0.12y + -0.6 (-7 * 0.06 + y * 0.06) + 0.14y = 0.12y + -0.6 (-0.42 + 0.06y) + 0.14y = 0.12y + -0.6 Combine like terms: 0.06y + 0.14y = 0.2y -0.42 + 0.2y = 0.12y + -0.6 Reorder the terms: -0.42 + 0.2y = -0.6 + 0.12y Solving -0.42 + 0.2y = -0.6 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.42 + 0.2y + -0.12y = -0.6 + 0.12y + -0.12y Combine like terms: 0.2y + -0.12y = 0.08y -0.42 + 0.08y = -0.6 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.42 + 0.08y = -0.6 + 0.00 -0.42 + 0.08y = -0.6 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.08y = -0.6 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.08y = -0.6 + 0.42 0.08y = -0.6 + 0.42 Combine like terms: -0.6 + 0.42 = -0.18 0.08y = -0.18 Divide each side by '0.08'. y = -2.25 Simplifying y = -2.25
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