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Simplifying 2y + y + 51 = 4y + 34 Reorder the terms: 51 + 2y + y = 4y + 34 Combine like terms: 2y + y = 3y 51 + 3y = 4y + 34 Reorder the terms: 51 + 3y = 34 + 4y Solving 51 + 3y = 34 + 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. 51 + 3y + -4y = 34 + 4y + -4y Combine like terms: 3y + -4y = -1y 51 + -1y = 34 + 4y + -4y Combine like terms: 4y + -4y = 0 51 + -1y = 34 + 0 51 + -1y = 34 Add '-51' to each side of the equation. 51 + -51 + -1y = 34 + -51 Combine like terms: 51 + -51 = 0 0 + -1y = 34 + -51 -1y = 34 + -51 Combine like terms: 34 + -51 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17
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