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Simplifying 8y + 1 + -3y = 7 + 4y + 1 Reorder the terms: 1 + 8y + -3y = 7 + 4y + 1 Combine like terms: 8y + -3y = 5y 1 + 5y = 7 + 4y + 1 Reorder the terms: 1 + 5y = 7 + 1 + 4y Combine like terms: 7 + 1 = 8 1 + 5y = 8 + 4y Solving 1 + 5y = 8 + 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. 1 + 5y + -4y = 8 + 4y + -4y Combine like terms: 5y + -4y = 1y 1 + 1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + 1y = 8 + 0 1 + 1y = 8 Add '-1' to each side of the equation. 1 + -1 + 1y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 8 + -1 1y = 8 + -1 Combine like terms: 8 + -1 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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