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Simplifying 7y + 12.8 = 13(y + -1) Reorder the terms: 12.8 + 7y = 13(y + -1) Reorder the terms: 12.8 + 7y = 13(-1 + y) 12.8 + 7y = (-1 * 13 + y * 13) 12.8 + 7y = (-13 + 13y) Solving 12.8 + 7y = -13 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 12.8 + 7y + -13y = -13 + 13y + -13y Combine like terms: 7y + -13y = -6y 12.8 + -6y = -13 + 13y + -13y Combine like terms: 13y + -13y = 0 12.8 + -6y = -13 + 0 12.8 + -6y = -13 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -6y = -13 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -6y = -13 + -12.8 -6y = -13 + -12.8 Combine like terms: -13 + -12.8 = -25.8 -6y = -25.8 Divide each side by '-6'. y = 4.3 Simplifying y = 4.3
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