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Simplifying 27 + 5y = 2(2y + 2) + 2(3y + 4) Reorder the terms: 27 + 5y = 2(2 + 2y) + 2(3y + 4) 27 + 5y = (2 * 2 + 2y * 2) + 2(3y + 4) 27 + 5y = (4 + 4y) + 2(3y + 4) Reorder the terms: 27 + 5y = 4 + 4y + 2(4 + 3y) 27 + 5y = 4 + 4y + (4 * 2 + 3y * 2) 27 + 5y = 4 + 4y + (8 + 6y) Reorder the terms: 27 + 5y = 4 + 8 + 4y + 6y Combine like terms: 4 + 8 = 12 27 + 5y = 12 + 4y + 6y Combine like terms: 4y + 6y = 10y 27 + 5y = 12 + 10y Solving 27 + 5y = 12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 27 + 5y + -10y = 12 + 10y + -10y Combine like terms: 5y + -10y = -5y 27 + -5y = 12 + 10y + -10y Combine like terms: 10y + -10y = 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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