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Simplifying 7 + 3y = -4y + 49 Reorder the terms: 7 + 3y = 49 + -4y Solving 7 + 3y = 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 + 3y + 4y = 49 + -4y + 4y Combine like terms: 3y + 4y = 7y 7 + 7y = 49 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 7y = 49 + 0 7 + 7y = 49 Add '-7' to each side of the equation. 7 + -7 + 7y = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 7y = 49 + -7 7y = 49 + -7 Combine like terms: 49 + -7 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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