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Simplifying 0.12(y + -7) + 0.14y = 0.06y + -1 Reorder the terms: 0.12(-7 + y) + 0.14y = 0.06y + -1 (-7 * 0.12 + y * 0.12) + 0.14y = 0.06y + -1 (-0.84 + 0.12y) + 0.14y = 0.06y + -1 Combine like terms: 0.12y + 0.14y = 0.26y -0.84 + 0.26y = 0.06y + -1 Reorder the terms: -0.84 + 0.26y = -1 + 0.06y Solving -0.84 + 0.26y = -1 + 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. -0.84 + 0.26y + -0.06y = -1 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.84 + 0.2y = -1 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.84 + 0.2y = -1 + 0.00 -0.84 + 0.2y = -1 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.2y = -1 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.2y = -1 + 0.84 0.2y = -1 + 0.84 Combine like terms: -1 + 0.84 = -0.16 0.2y = -0.16 Divide each side by '0.2'. y = -0.8 Simplifying y = -0.8
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