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Simplifying 27 = 5(2y + 4) + -3(y + 7) Reorder the terms: 27 = 5(4 + 2y) + -3(y + 7) 27 = (4 * 5 + 2y * 5) + -3(y + 7) 27 = (20 + 10y) + -3(y + 7) Reorder the terms: 27 = 20 + 10y + -3(7 + y) 27 = 20 + 10y + (7 * -3 + y * -3) 27 = 20 + 10y + (-21 + -3y) Reorder the terms: 27 = 20 + -21 + 10y + -3y Combine like terms: 20 + -21 = -1 27 = -1 + 10y + -3y Combine like terms: 10y + -3y = 7y 27 = -1 + 7y Solving 27 = -1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 27 + -7y = -1 + 7y + -7y Combine like terms: 7y + -7y = 0 27 + -7y = -1 + 0 27 + -7y = -1 Add '-27' to each side of the equation. 27 + -27 + -7y = -1 + -27 Combine like terms: 27 + -27 = 0 0 + -7y = -1 + -27 -7y = -1 + -27 Combine like terms: -1 + -27 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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