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Simplifying 2y + 7 = 49 + -4y Reorder the terms: 7 + 2y = 49 + -4y Solving 7 + 2y = 49 + -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. 7 + 2y + 4y = 49 + -4y + 4y Combine like terms: 2y + 4y = 6y 7 + 6y = 49 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 6y = 49 + 0 7 + 6y = 49 Add '-7' to each side of the equation. 7 + -7 + 6y = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 49 + -7 6y = 49 + -7 Combine like terms: 49 + -7 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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