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Simplifying 3y + 7 = 42 + -4y Reorder the terms: 7 + 3y = 42 + -4y Solving 7 + 3y = 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. 7 + 3y + 4y = 42 + -4y + 4y Combine like terms: 3y + 4y = 7y 7 + 7y = 42 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 7y = 42 + 0 7 + 7y = 42 Add '-7' to each side of the equation. 7 + -7 + 7y = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 7y = 42 + -7 7y = 42 + -7 Combine like terms: 42 + -7 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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