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Simplifying 3y + -2 + y + 34 = 5 + 6y + 35 + -4y Reorder the terms: -2 + 34 + 3y + y = 5 + 6y + 35 + -4y Combine like terms: -2 + 34 = 32 32 + 3y + y = 5 + 6y + 35 + -4y Combine like terms: 3y + y = 4y 32 + 4y = 5 + 6y + 35 + -4y Reorder the terms: 32 + 4y = 5 + 35 + 6y + -4y Combine like terms: 5 + 35 = 40 32 + 4y = 40 + 6y + -4y Combine like terms: 6y + -4y = 2y 32 + 4y = 40 + 2y Solving 32 + 4y = 40 + 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. 32 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y 32 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + 2y = 40 + 0 32 + 2y = 40 Add '-32' to each side of the equation. 32 + -32 + 2y = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 40 + -32 2y = 40 + -32 Combine like terms: 40 + -32 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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