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Simplifying 4y + 27 = 3(3y + 4) Reorder the terms: 27 + 4y = 3(3y + 4) Reorder the terms: 27 + 4y = 3(4 + 3y) 27 + 4y = (4 * 3 + 3y * 3) 27 + 4y = (12 + 9y) Solving 27 + 4y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 27 + 4y + -9y = 12 + 9y + -9y Combine like terms: 4y + -9y = -5y 27 + -5y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 27 + -5y = 12 + 0 27 + -5y = 12 Add '-27' to each side of the equation. 27 + -27 + -5y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5y = 12 + -27 -5y = 12 + -27 Combine like terms: 12 + -27 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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