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Simplifying 4(y + 9) + -3y = 45 Reorder the terms: 4(9 + y) + -3y = 45 (9 * 4 + y * 4) + -3y = 45 (36 + 4y) + -3y = 45 Combine like terms: 4y + -3y = 1y 36 + 1y = 45 Solving 36 + 1y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1y = 45 + -36 Combine like terms: 36 + -36 = 0 0 + 1y = 45 + -36 1y = 45 + -36 Combine like terms: 45 + -36 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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