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Simplifying 4(2y + 9) + -3y + -2 = 49 Reorder the terms: 4(9 + 2y) + -3y + -2 = 49 (9 * 4 + 2y * 4) + -3y + -2 = 49 (36 + 8y) + -3y + -2 = 49 Reorder the terms: 36 + -2 + 8y + -3y = 49 Combine like terms: 36 + -2 = 34 34 + 8y + -3y = 49 Combine like terms: 8y + -3y = 5y 34 + 5y = 49 Solving 34 + 5y = 49 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5y = 49 + -34 Combine like terms: 34 + -34 = 0 0 + 5y = 49 + -34 5y = 49 + -34 Combine like terms: 49 + -34 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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