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Simplifying 34 = y + 42 + -5y Reorder the terms: 34 = 42 + y + -5y Combine like terms: y + -5y = -4y 34 = 42 + -4y Solving 34 = 42 + -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. 34 + 4y = 42 + -4y + 4y Combine like terms: -4y + 4y = 0 34 + 4y = 42 + 0 34 + 4y = 42 Add '-34' to each side of the equation. 34 + -34 + 4y = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 4y = 42 + -34 4y = 42 + -34 Combine like terms: 42 + -34 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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