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