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Simplifying 4y + -10 + y + 34 = 8y + 30 + -6y Reorder the terms: -10 + 34 + 4y + y = 8y + 30 + -6y Combine like terms: -10 + 34 = 24 24 + 4y + y = 8y + 30 + -6y Combine like terms: 4y + y = 5y 24 + 5y = 8y + 30 + -6y Reorder the terms: 24 + 5y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 24 + 5y = 30 + 2y Solving 24 + 5y = 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 + 5y + -2y = 30 + 2y + -2y Combine like terms: 5y + -2y = 3y 24 + 3y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 3y = 30 + 0 24 + 3y = 30 Add '-24' to each side of the equation. 24 + -24 + 3y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 3y = 30 + -24 3y = 30 + -24 Combine like terms: 30 + -24 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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