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Simplifying 34 + 4.1y + 4.7 = 2.1y + -5.3 Reorder the terms: 34 + 4.7 + 4.1y = 2.1y + -5.3 Combine like terms: 34 + 4.7 = 38.7 38.7 + 4.1y = 2.1y + -5.3 Reorder the terms: 38.7 + 4.1y = -5.3 + 2.1y Solving 38.7 + 4.1y = -5.3 + 2.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.1y' to each side of the equation. 38.7 + 4.1y + -2.1y = -5.3 + 2.1y + -2.1y Combine like terms: 4.1y + -2.1y = 2y 38.7 + 2y = -5.3 + 2.1y + -2.1y Combine like terms: 2.1y + -2.1y = 0.0 38.7 + 2y = -5.3 + 0.0 38.7 + 2y = -5.3 Add '-38.7' to each side of the equation. 38.7 + -38.7 + 2y = -5.3 + -38.7 Combine like terms: 38.7 + -38.7 = 0.0 0.0 + 2y = -5.3 + -38.7 2y = -5.3 + -38.7 Combine like terms: -5.3 + -38.7 = -44 2y = -44 Divide each side by '2'. y = -22 Simplifying y = -22
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