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Simplifying 5y + 42 = 8y + 21 Reorder the terms: 42 + 5y = 8y + 21 Reorder the terms: 42 + 5y = 21 + 8y Solving 42 + 5y = 21 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 42 + 5y + -8y = 21 + 8y + -8y Combine like terms: 5y + -8y = -3y 42 + -3y = 21 + 8y + -8y Combine like terms: 8y + -8y = 0 42 + -3y = 21 + 0 42 + -3y = 21 Add '-42' to each side of the equation. 42 + -42 + -3y = 21 + -42 Combine like terms: 42 + -42 = 0 0 + -3y = 21 + -42 -3y = 21 + -42 Combine like terms: 21 + -42 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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