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Simplifying 27 = -2(22 + -1y) + 3(y + -3) 27 = (22 * -2 + -1y * -2) + 3(y + -3) 27 = (-44 + 2y) + 3(y + -3) Reorder the terms: 27 = -44 + 2y + 3(-3 + y) 27 = -44 + 2y + (-3 * 3 + y * 3) 27 = -44 + 2y + (-9 + 3y) Reorder the terms: 27 = -44 + -9 + 2y + 3y Combine like terms: -44 + -9 = -53 27 = -53 + 2y + 3y Combine like terms: 2y + 3y = 5y 27 = -53 + 5y Solving 27 = -53 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 27 + -5y = -53 + 5y + -5y Combine like terms: 5y + -5y = 0 27 + -5y = -53 + 0 27 + -5y = -53 Add '-27' to each side of the equation. 27 + -27 + -5y = -53 + -27 Combine like terms: 27 + -27 = 0 0 + -5y = -53 + -27 -5y = -53 + -27 Combine like terms: -53 + -27 = -80 -5y = -80 Divide each side by '-5'. y = 16 Simplifying y = 16
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