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Simplifying 3y + 8 = 5y + 7 + -3y Reorder the terms: 8 + 3y = 5y + 7 + -3y Reorder the terms: 8 + 3y = 7 + 5y + -3y Combine like terms: 5y + -3y = 2y 8 + 3y = 7 + 2y Solving 8 + 3y = 7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 3y + -2y = 7 + 2y + -2y Combine like terms: 3y + -2y = 1y 8 + 1y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 1y = 7 + 0 8 + 1y = 7 Add '-8' to each side of the equation. 8 + -8 + 1y = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 7 + -8 1y = 7 + -8 Combine like terms: 7 + -8 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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