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Simplifying 0.08(y + -7) + 0.14y = 0.02y + -2.1 Reorder the terms: 0.08(-7 + y) + 0.14y = 0.02y + -2.1 (-7 * 0.08 + y * 0.08) + 0.14y = 0.02y + -2.1 (-0.56 + 0.08y) + 0.14y = 0.02y + -2.1 Combine like terms: 0.08y + 0.14y = 0.22y -0.56 + 0.22y = 0.02y + -2.1 Reorder the terms: -0.56 + 0.22y = -2.1 + 0.02y Solving -0.56 + 0.22y = -2.1 + 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. -0.56 + 0.22y + -0.02y = -2.1 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.56 + 0.2y = -2.1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.56 + 0.2y = -2.1 + 0.00 -0.56 + 0.2y = -2.1 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.2y = -2.1 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.2y = -2.1 + 0.56 0.2y = -2.1 + 0.56 Combine like terms: -2.1 + 0.56 = -1.54 0.2y = -1.54 Divide each side by '0.2'. y = -7.7 Simplifying y = -7.7
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