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Simplifying 5(y + 2) + -2 = 6y + -9 Reorder the terms: 5(2 + y) + -2 = 6y + -9 (2 * 5 + y * 5) + -2 = 6y + -9 (10 + 5y) + -2 = 6y + -9 Reorder the terms: 10 + -2 + 5y = 6y + -9 Combine like terms: 10 + -2 = 8 8 + 5y = 6y + -9 Reorder the terms: 8 + 5y = -9 + 6y Solving 8 + 5y = -9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + 5y + -6y = -9 + 6y + -6y Combine like terms: 5y + -6y = -1y 8 + -1y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -1y = -9 + 0 8 + -1y = -9 Add '-8' to each side of the equation. 8 + -8 + -1y = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -9 + -8 -1y = -9 + -8 Combine like terms: -9 + -8 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17
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