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