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Simplifying 5(y + 2) = 74 + -3y Reorder the terms: 5(2 + y) = 74 + -3y (2 * 5 + y * 5) = 74 + -3y (10 + 5y) = 74 + -3y Solving 10 + 5y = 74 + -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. 10 + 5y + 3y = 74 + -3y + 3y Combine like terms: 5y + 3y = 8y 10 + 8y = 74 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + 8y = 74 + 0 10 + 8y = 74 Add '-10' to each side of the equation. 10 + -10 + 8y = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8y = 74 + -10 8y = 74 + -10 Combine like terms: 74 + -10 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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