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Simplifying 8y + 7 = 3y + 42 Reorder the terms: 7 + 8y = 3y + 42 Reorder the terms: 7 + 8y = 42 + 3y Solving 7 + 8y = 42 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7 + 8y + -3y = 42 + 3y + -3y Combine like terms: 8y + -3y = 5y 7 + 5y = 42 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 5y = 42 + 0 7 + 5y = 42 Add '-7' to each side of the equation. 7 + -7 + 5y = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 42 + -7 5y = 42 + -7 Combine like terms: 42 + -7 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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