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Simplifying 5y + 3(y + 7) = 3(y + 2) + -5 Reorder the terms: 5y + 3(7 + y) = 3(y + 2) + -5 5y + (7 * 3 + y * 3) = 3(y + 2) + -5 5y + (21 + 3y) = 3(y + 2) + -5 Reorder the terms: 21 + 5y + 3y = 3(y + 2) + -5 Combine like terms: 5y + 3y = 8y 21 + 8y = 3(y + 2) + -5 Reorder the terms: 21 + 8y = 3(2 + y) + -5 21 + 8y = (2 * 3 + y * 3) + -5 21 + 8y = (6 + 3y) + -5 Reorder the terms: 21 + 8y = 6 + -5 + 3y Combine like terms: 6 + -5 = 1 21 + 8y = 1 + 3y Solving 21 + 8y = 1 + 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. 21 + 8y + -3y = 1 + 3y + -3y Combine like terms: 8y + -3y = 5y 21 + 5y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 21 + 5y = 1 + 0 21 + 5y = 1 Add '-21' to each side of the equation. 21 + -21 + 5y = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 1 + -21 5y = 1 + -21 Combine like terms: 1 + -21 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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