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Simplifying 4(y + 8) + 2y + 5 = y + 9 Reorder the terms: 4(8 + y) + 2y + 5 = y + 9 (8 * 4 + y * 4) + 2y + 5 = y + 9 (32 + 4y) + 2y + 5 = y + 9 Reorder the terms: 32 + 5 + 4y + 2y = y + 9 Combine like terms: 32 + 5 = 37 37 + 4y + 2y = y + 9 Combine like terms: 4y + 2y = 6y 37 + 6y = y + 9 Reorder the terms: 37 + 6y = 9 + y Solving 37 + 6y = 9 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 37 + 6y + -1y = 9 + y + -1y Combine like terms: 6y + -1y = 5y 37 + 5y = 9 + y + -1y Combine like terms: y + -1y = 0 37 + 5y = 9 + 0 37 + 5y = 9 Add '-37' to each side of the equation. 37 + -37 + 5y = 9 + -37 Combine like terms: 37 + -37 = 0 0 + 5y = 9 + -37 5y = 9 + -37 Combine like terms: 9 + -37 = -28 5y = -28 Divide each side by '5'. y = -5.6 Simplifying y = -5.6
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