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Simplifying 6y + 7 + -4y = 10 + y + -8 Reorder the terms: 7 + 6y + -4y = 10 + y + -8 Combine like terms: 6y + -4y = 2y 7 + 2y = 10 + y + -8 Reorder the terms: 7 + 2y = 10 + -8 + y Combine like terms: 10 + -8 = 2 7 + 2y = 2 + y Solving 7 + 2y = 2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 7 + 2y + -1y = 2 + y + -1y Combine like terms: 2y + -1y = 1y 7 + 1y = 2 + y + -1y Combine like terms: y + -1y = 0 7 + 1y = 2 + 0 7 + 1y = 2 Add '-7' to each side of the equation. 7 + -7 + 1y = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 2 + -7 1y = 2 + -7 Combine like terms: 2 + -7 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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