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Simplifying 5y + 43 = 2(y + 8) Reorder the terms: 43 + 5y = 2(y + 8) Reorder the terms: 43 + 5y = 2(8 + y) 43 + 5y = (8 * 2 + y * 2) 43 + 5y = (16 + 2y) Solving 43 + 5y = 16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 43 + 5y + -2y = 16 + 2y + -2y Combine like terms: 5y + -2y = 3y 43 + 3y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 43 + 3y = 16 + 0 43 + 3y = 16 Add '-43' to each side of the equation. 43 + -43 + 3y = 16 + -43 Combine like terms: 43 + -43 = 0 0 + 3y = 16 + -43 3y = 16 + -43 Combine like terms: 16 + -43 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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