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Simplifying 2y + 6 = 2y + 34 + -4y Reorder the terms: 6 + 2y = 2y + 34 + -4y Reorder the terms: 6 + 2y = 34 + 2y + -4y Combine like terms: 2y + -4y = -2y 6 + 2y = 34 + -2y Solving 6 + 2y = 34 + -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. 6 + 2y + 2y = 34 + -2y + 2y Combine like terms: 2y + 2y = 4y 6 + 4y = 34 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 4y = 34 + 0 6 + 4y = 34 Add '-6' to each side of the equation. 6 + -6 + 4y = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = 34 + -6 4y = 34 + -6 Combine like terms: 34 + -6 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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