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Simplifying 3y + -7 + y + 31 = 8y + 30 + -6y Reorder the terms: -7 + 31 + 3y + y = 8y + 30 + -6y Combine like terms: -7 + 31 = 24 24 + 3y + y = 8y + 30 + -6y Combine like terms: 3y + y = 4y 24 + 4y = 8y + 30 + -6y Reorder the terms: 24 + 4y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 24 + 4y = 30 + 2y Solving 24 + 4y = 30 + 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. 24 + 4y + -2y = 30 + 2y + -2y Combine like terms: 4y + -2y = 2y 24 + 2y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 2y = 30 + 0 24 + 2y = 30 Add '-24' to each side of the equation. 24 + -24 + 2y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 30 + -24 2y = 30 + -24 Combine like terms: 30 + -24 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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